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LeanPool.NFWeakPartition.NAR4H5C095M3Part004

NF weak partition development: NAR4H5C095M3Part004.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_349 (f : SemanticCore.Var) :

nb095AlphaDummy310 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy302 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_350 (f : SemanticCore.Var) :

nb095AlphaDummy309 f ≠ nb095AlphaDummy310 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_351 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy313 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy307 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_352 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy314 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy307 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_353 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy315 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy307 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_354 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy313 D R S_cls E ≠ nb095AlphaDummy314 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_355 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy313 D R S_cls E ≠ nb095AlphaDummy315 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_356 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy314 D R S_cls E ≠ nb095AlphaDummy315 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_357 (f : SemanticCore.Var) :

nb095AlphaDummy316 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy309 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_358 (f : SemanticCore.Var) :

nb095AlphaDummy317 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy309 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_359 (f : SemanticCore.Var) :

nb095AlphaDummy318 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy309 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_360 (f : SemanticCore.Var) :

nb095AlphaDummy316 f ≠ nb095AlphaDummy317 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_361 (f : SemanticCore.Var) :

nb095AlphaDummy316 f ≠ nb095AlphaDummy318 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_362 (f : SemanticCore.Var) :

nb095AlphaDummy317 f ≠ nb095AlphaDummy318 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_363 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy325 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy314 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy314 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_364 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy321 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy314 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy315 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_365 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy327 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy315 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy315 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_366 (f : SemanticCore.Var) :

nb095AlphaDummy326 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy317 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy317 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_367 (f : SemanticCore.Var) :

nb095AlphaDummy322 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy317 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy318 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_368 (f : SemanticCore.Var) :

nb095AlphaDummy328 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy318 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy318 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_369 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy345 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy340 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy339 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_370 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy346 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy340 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy339 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_371 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy345 D R S_cls E ≠ nb095AlphaDummy346 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_372 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy347 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy342 u S_cls)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy341 u S_cls)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_373 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy348 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy342 u S_cls)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy341 u S_cls)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_374 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy347 u S_cls ≠ nb095AlphaDummy348 u S_cls

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_375 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy353 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy346 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_376 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy354 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy346 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_377 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy353 D R S_cls E ≠ nb095AlphaDummy354 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_378 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy355 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy348 u S_cls)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_379 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy356 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy348 u S_cls)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_380 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy355 u S_cls ≠ nb095AlphaDummy356 u S_cls

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_381 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy359 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy353 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_382 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy360 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy353 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_383 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy361 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy353 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_384 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy359 D R S_cls E ≠ nb095AlphaDummy360 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_385 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy359 D R S_cls E ≠ nb095AlphaDummy361 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_386 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy360 D R S_cls E ≠ nb095AlphaDummy361 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_387 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy362 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy355 u S_cls)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_388 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy363 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy355 u S_cls)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_389 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy364 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy355 u S_cls)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_390 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy362 u S_cls ≠ nb095AlphaDummy363 u S_cls

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_391 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy362 u S_cls ≠ nb095AlphaDummy364 u S_cls

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_392 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy363 u S_cls ≠ nb095AlphaDummy364 u S_cls

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_393 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy371 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy360 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy360 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_394 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy367 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy360 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy361 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_395 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy373 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy361 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy361 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_396 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy372 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy363 u S_cls)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy363 u S_cls)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_397 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy368 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy363 u S_cls)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy364 u S_cls)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_398 (u : SemanticCore.Var) (S_cls : SemanticCore.Class) :

nb095AlphaDummy374 u S_cls ∉ (SemanticCore.Class.cv (nb095AlphaDummy364 u S_cls)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy364 u S_cls)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_399 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy393 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_400 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy394 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_401 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy393 D R S_cls E ≠ nb095AlphaDummy394 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_402 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy429 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_403 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy430 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy385 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_404 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy429 D R S_cls E ≠ nb095AlphaDummy430 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_405 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy543 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_406 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy544 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy387 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy386 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_407 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy543 D R S_cls E ≠ nb095AlphaDummy544 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_408 (f : SemanticCore.Var) :

nb095AlphaDummy395 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy388 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy389 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_409 (f : SemanticCore.Var) :

nb095AlphaDummy396 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy388 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy389 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_410 (f : SemanticCore.Var) :

nb095AlphaDummy395 f ≠ nb095AlphaDummy396 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_411 (f : SemanticCore.Var) :

nb095AlphaDummy431 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy388 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy390 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_412 (f : SemanticCore.Var) :

nb095AlphaDummy432 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy388 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy390 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_413 (f : SemanticCore.Var) :

nb095AlphaDummy431 f ≠ nb095AlphaDummy432 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_414 (f : SemanticCore.Var) :

nb095AlphaDummy545 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy390 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy389 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_415 (f : SemanticCore.Var) :

nb095AlphaDummy546 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy390 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy389 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_416 (f : SemanticCore.Var) :

nb095AlphaDummy545 f ≠ nb095AlphaDummy546 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_417 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy401 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_418 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy402 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy394 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_419 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy401 D R S_cls E ≠ nb095AlphaDummy402 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_420 (f : SemanticCore.Var) :

nb095AlphaDummy403 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy396 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_421 (f : SemanticCore.Var) :

nb095AlphaDummy404 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy396 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_422 (f : SemanticCore.Var) :

nb095AlphaDummy403 f ≠ nb095AlphaDummy404 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_423 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy407 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_424 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy408 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_425 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy409 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_426 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy407 D R S_cls E ≠ nb095AlphaDummy408 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_427 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy407 D R S_cls E ≠ nb095AlphaDummy409 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_428 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy408 D R S_cls E ≠ nb095AlphaDummy409 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_429 (f : SemanticCore.Var) :

nb095AlphaDummy410 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy403 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_430 (f : SemanticCore.Var) :

nb095AlphaDummy411 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy403 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_431 (f : SemanticCore.Var) :

nb095AlphaDummy412 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy403 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_432 (f : SemanticCore.Var) :

nb095AlphaDummy410 f ≠ nb095AlphaDummy411 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_433 (f : SemanticCore.Var) :

nb095AlphaDummy410 f ≠ nb095AlphaDummy412 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_434 (f : SemanticCore.Var) :

nb095AlphaDummy411 f ≠ nb095AlphaDummy412 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_435 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy419 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_436 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy415 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy408 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_437 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy421 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy409 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_438 (f : SemanticCore.Var) :

nb095AlphaDummy420 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy411 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy411 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_439 (f : SemanticCore.Var) :

nb095AlphaDummy416 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy411 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy412 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_440 (f : SemanticCore.Var) :

nb095AlphaDummy422 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy412 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy412 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_441 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy437 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_442 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy438 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy430 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_443 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy437 D R S_cls E ≠ nb095AlphaDummy438 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_444 (f : SemanticCore.Var) :

nb095AlphaDummy439 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy432 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_445 (f : SemanticCore.Var) :

nb095AlphaDummy440 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy432 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_446 (f : SemanticCore.Var) :

nb095AlphaDummy439 f ≠ nb095AlphaDummy440 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_447 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy443 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_448 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy444 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_449 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy445 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_450 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy443 D R S_cls E ≠ nb095AlphaDummy444 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_451 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy443 D R S_cls E ≠ nb095AlphaDummy445 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_452 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy444 D R S_cls E ≠ nb095AlphaDummy445 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_453 (f : SemanticCore.Var) :

nb095AlphaDummy446 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy439 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_454 (f : SemanticCore.Var) :

nb095AlphaDummy447 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy439 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_455 (f : SemanticCore.Var) :

nb095AlphaDummy448 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy439 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_456 (f : SemanticCore.Var) :

nb095AlphaDummy446 f ≠ nb095AlphaDummy447 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_457 (f : SemanticCore.Var) :

nb095AlphaDummy446 f ≠ nb095AlphaDummy448 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_458 (f : SemanticCore.Var) :

nb095AlphaDummy447 f ≠ nb095AlphaDummy448 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_459 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy455 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_460 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy451 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy444 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_461 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy457 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy445 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_462 (f : SemanticCore.Var) :

nb095AlphaDummy456 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy447 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy447 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_463 (f : SemanticCore.Var) :

nb095AlphaDummy452 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy447 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy448 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_464 (f : SemanticCore.Var) :

nb095AlphaDummy458 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy448 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy448 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_465 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy471 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_466 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy472 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_467 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy471 D R S_cls E ≠ nb095AlphaDummy472 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_468 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy507 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_469 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy508 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy466 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy465 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_470 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy507 D R S_cls E ≠ nb095AlphaDummy508 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_471 (f : SemanticCore.Var) :

nb095AlphaDummy473 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy467 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy468 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_472 (f : SemanticCore.Var) :

nb095AlphaDummy474 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy467 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy468 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_473 (f : SemanticCore.Var) :

nb095AlphaDummy473 f ≠ nb095AlphaDummy474 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_474 (f : SemanticCore.Var) :

nb095AlphaDummy509 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy468 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy467 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_475 (f : SemanticCore.Var) :

nb095AlphaDummy510 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy468 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy467 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_476 (f : SemanticCore.Var) :

nb095AlphaDummy509 f ≠ nb095AlphaDummy510 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_477 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy479 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_478 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy480 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy472 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_479 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy479 D R S_cls E ≠ nb095AlphaDummy480 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_480 (f : SemanticCore.Var) :

nb095AlphaDummy481 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy474 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_481 (f : SemanticCore.Var) :

nb095AlphaDummy482 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy474 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_482 (f : SemanticCore.Var) :

nb095AlphaDummy481 f ≠ nb095AlphaDummy482 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_483 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy485 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_484 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy486 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_485 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy487 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_486 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy485 D R S_cls E ≠ nb095AlphaDummy486 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_487 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy485 D R S_cls E ≠ nb095AlphaDummy487 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_488 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy486 D R S_cls E ≠ nb095AlphaDummy487 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_489 (f : SemanticCore.Var) :

nb095AlphaDummy488 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy481 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_490 (f : SemanticCore.Var) :

nb095AlphaDummy489 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy481 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_491 (f : SemanticCore.Var) :

nb095AlphaDummy490 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy481 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_492 (f : SemanticCore.Var) :

nb095AlphaDummy488 f ≠ nb095AlphaDummy489 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_493 (f : SemanticCore.Var) :

nb095AlphaDummy488 f ≠ nb095AlphaDummy490 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_494 (f : SemanticCore.Var) :

nb095AlphaDummy489 f ≠ nb095AlphaDummy490 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_495 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy497 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_496 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy493 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy486 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_497 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy499 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy487 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_498 (f : SemanticCore.Var) :

nb095AlphaDummy498 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy489 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy489 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_499 (f : SemanticCore.Var) :

nb095AlphaDummy494 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy489 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy490 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_500 (f : SemanticCore.Var) :

nb095AlphaDummy500 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy490 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy490 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_501 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy515 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_502 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy516 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy508 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_503 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy515 D R S_cls E ≠ nb095AlphaDummy516 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_504 (f : SemanticCore.Var) :

nb095AlphaDummy517 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy510 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_505 (f : SemanticCore.Var) :

nb095AlphaDummy518 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy510 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_506 (f : SemanticCore.Var) :

nb095AlphaDummy517 f ≠ nb095AlphaDummy518 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_507 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy521 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_508 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy522 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_509 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy523 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_510 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy521 D R S_cls E ≠ nb095AlphaDummy522 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_511 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy521 D R S_cls E ≠ nb095AlphaDummy523 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_512 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy522 D R S_cls E ≠ nb095AlphaDummy523 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_513 (f : SemanticCore.Var) :

nb095AlphaDummy524 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy517 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_514 (f : SemanticCore.Var) :

nb095AlphaDummy525 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy517 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_515 (f : SemanticCore.Var) :

nb095AlphaDummy526 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy517 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_516 (f : SemanticCore.Var) :

nb095AlphaDummy524 f ≠ nb095AlphaDummy525 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_517 (f : SemanticCore.Var) :

nb095AlphaDummy524 f ≠ nb095AlphaDummy526 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_518 (f : SemanticCore.Var) :

nb095AlphaDummy525 f ≠ nb095AlphaDummy526 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_519 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy533 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_520 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy529 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy522 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_521 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy535 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy523 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_522 (f : SemanticCore.Var) :

nb095AlphaDummy534 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy525 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy525 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_523 (f : SemanticCore.Var) :

nb095AlphaDummy530 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy525 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy526 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_524 (f : SemanticCore.Var) :

nb095AlphaDummy536 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy526 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy526 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_525 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy551 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_526 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy552 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy544 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_527 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy551 D R S_cls E ≠ nb095AlphaDummy552 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_528 (f : SemanticCore.Var) :

nb095AlphaDummy553 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy546 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_529 (f : SemanticCore.Var) :

nb095AlphaDummy554 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy546 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_530 (f : SemanticCore.Var) :

nb095AlphaDummy553 f ≠ nb095AlphaDummy554 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_531 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy557 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_532 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy558 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_533 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy559 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_534 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy557 D R S_cls E ≠ nb095AlphaDummy558 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_535 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy557 D R S_cls E ≠ nb095AlphaDummy559 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_536 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy558 D R S_cls E ≠ nb095AlphaDummy559 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_537 (f : SemanticCore.Var) :

nb095AlphaDummy560 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy553 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_538 (f : SemanticCore.Var) :

nb095AlphaDummy561 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy553 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_539 (f : SemanticCore.Var) :

nb095AlphaDummy562 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy553 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_540 (f : SemanticCore.Var) :

nb095AlphaDummy560 f ≠ nb095AlphaDummy561 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_541 (f : SemanticCore.Var) :

nb095AlphaDummy560 f ≠ nb095AlphaDummy562 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_542 (f : SemanticCore.Var) :

nb095AlphaDummy561 f ≠ nb095AlphaDummy562 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_543 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy569 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_544 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy565 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy558 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_545 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy571 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy559 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_546 (f : SemanticCore.Var) :

nb095AlphaDummy570 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy561 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy561 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_547 (f : SemanticCore.Var) :

nb095AlphaDummy566 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy561 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy562 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_548 (f : SemanticCore.Var) :

nb095AlphaDummy572 f ∉ (SemanticCore.Class.cv (nb095AlphaDummy562 f)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy562 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_549 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy587 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_550 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy588 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy580 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_551 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy587 D R S_cls E ≠ nb095AlphaDummy588 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_552 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy589 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_553 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy590 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy582 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_554 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy589 x u D R S_cls f E ≠ nb095AlphaDummy590 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_555 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy593 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_556 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy594 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_557 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy595 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_558 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy593 D R S_cls E ≠ nb095AlphaDummy594 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_559 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy593 D R S_cls E ≠ nb095AlphaDummy595 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_560 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy594 D R S_cls E ≠ nb095AlphaDummy595 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_561 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy596 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_562 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy597 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_563 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy598 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_564 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy596 x u D R S_cls f E ≠ nb095AlphaDummy597 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_565 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy596 x u D R S_cls f E ≠ nb095AlphaDummy598 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_566 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy597 x u D R S_cls f E ≠ nb095AlphaDummy598 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_567 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy605 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_568 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy601 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy594 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_569 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy607 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy595 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_570 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy606 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_571 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy602 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy597 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_572 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy608 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy598 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_573 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy625 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_574 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy626 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy619 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy620 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_575 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy625 D R S_cls E ≠ nb095AlphaDummy626 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_576 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy627 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy621 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy622 x D R)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_577 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy628 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy621 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy622 x D R)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_578 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy627 x D R ≠ nb095AlphaDummy628 x D R

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_579 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy633 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_580 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy634 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy626 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_581 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy633 D R S_cls E ≠ nb095AlphaDummy634 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_582 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy635 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy628 x D R)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_583 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy636 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy628 x D R)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_584 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy635 x D R ≠ nb095AlphaDummy636 x D R

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_585 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy639 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_586 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy640 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_587 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy641 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_588 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy639 D R S_cls E ≠ nb095AlphaDummy640 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_589 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy639 D R S_cls E ≠ nb095AlphaDummy641 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_590 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy640 D R S_cls E ≠ nb095AlphaDummy641 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_591 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy642 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy635 x D R)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_592 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy643 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy635 x D R)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_593 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy644 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy635 x D R)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_594 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy642 x D R ≠ nb095AlphaDummy643 x D R

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_595 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy642 x D R ≠ nb095AlphaDummy644 x D R

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_596 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy643 x D R ≠ nb095AlphaDummy644 x D R

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_597 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy651 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_598 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy647 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy640 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_599 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy653 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy641 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_600 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy652 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy643 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy643 x D R)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_601 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy648 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy643 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy644 x D R)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_602 (x : SemanticCore.Var) (D R : SemanticCore.Class) :

nb095AlphaDummy654 x D R ∉ (SemanticCore.Class.cv (nb095AlphaDummy644 x D R)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy644 x D R)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_603 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy715 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_604 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy716 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy662 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_605 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy715 D R S_cls E ≠ nb095AlphaDummy716 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_606 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy717 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_607 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy718 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy664 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_608 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy717 x u D R S_cls f E ≠ nb095AlphaDummy718 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_609 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy713 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy671 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_610 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy714 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy672 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_611 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy685 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_612 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy686 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy678 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_613 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy685 D R S_cls E ≠ nb095AlphaDummy686 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_614 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy687 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_615 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy688 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy680 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_616 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy687 x u D R S_cls f E ≠ nb095AlphaDummy688 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_617 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy691 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_618 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy692 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_619 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy693 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_620 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy691 D R S_cls E ≠ nb095AlphaDummy692 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_621 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy691 D R S_cls E ≠ nb095AlphaDummy693 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_622 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy692 D R S_cls E ≠ nb095AlphaDummy693 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_623 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy694 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_624 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy695 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_625 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy696 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_626 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy694 x u D R S_cls f E ≠ nb095AlphaDummy695 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_627 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy694 x u D R S_cls f E ≠ nb095AlphaDummy696 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_628 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy695 x u D R S_cls f E ≠ nb095AlphaDummy696 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_629 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy703 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_630 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy699 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy692 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_631 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy705 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy693 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_632 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy704 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_633 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy700 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy695 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_634 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy706 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy696 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_635 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy721 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_636 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy722 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_637 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy723 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_638 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy721 D R S_cls E ≠ nb095AlphaDummy722 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_639 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy721 D R S_cls E ≠ nb095AlphaDummy723 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_640 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy722 D R S_cls E ≠ nb095AlphaDummy723 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_641 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy724 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_642 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy725 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_643 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy726 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_644 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy724 x u D R S_cls f E ≠ nb095AlphaDummy725 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_645 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy724 x u D R S_cls f E ≠ nb095AlphaDummy726 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_646 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy725 x u D R S_cls f E ≠ nb095AlphaDummy726 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_647 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy733 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_648 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy729 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy722 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_649 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy735 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy723 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_650 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy734 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_651 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy730 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy725 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_652 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy736 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy726 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_653 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy783 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy741 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_654 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy784 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy742 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_655 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy755 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_656 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy756 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy748 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_657 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy755 D R S_cls E ≠ nb095AlphaDummy756 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_658 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy757 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_659 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy758 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy750 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_660 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy757 x u D R S_cls f E ≠ nb095AlphaDummy758 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_661 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy761 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_662 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy762 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_663 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy763 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_664 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy761 D R S_cls E ≠ nb095AlphaDummy762 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_665 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy761 D R S_cls E ≠ nb095AlphaDummy763 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_666 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy762 D R S_cls E ≠ nb095AlphaDummy763 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_667 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy764 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_668 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy765 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_669 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy766 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_670 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy764 x u D R S_cls f E ≠ nb095AlphaDummy765 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_671 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy764 x u D R S_cls f E ≠ nb095AlphaDummy766 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_672 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy765 x u D R S_cls f E ≠ nb095AlphaDummy766 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_673 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy773 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_674 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy769 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy762 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_675 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy775 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy763 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_676 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy774 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_677 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy770 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy765 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_678 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy776 x u D R S_cls f E ∉ (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy766 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_679 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy799 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_680 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy800 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy793 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy794 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_681 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy799 D R S_cls E ≠ nb095AlphaDummy800 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_682 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy801 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_683 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy802 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy795 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy796 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_684 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy801 u S_cls E ≠ nb095AlphaDummy802 u S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_685 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy807 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_686 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy808 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy800 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_687 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy807 D R S_cls E ≠ nb095AlphaDummy808 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_688 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy809 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_689 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy810 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy802 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_690 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy809 u S_cls E ≠ nb095AlphaDummy810 u S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_691 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy813 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_692 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy814 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_693 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy815 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_694 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy813 D R S_cls E ≠ nb095AlphaDummy814 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_695 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy813 D R S_cls E ≠ nb095AlphaDummy815 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_696 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy814 D R S_cls E ≠ nb095AlphaDummy815 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_697 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy816 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_698 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy817 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_699 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy818 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_700 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy816 u S_cls E ≠ nb095AlphaDummy817 u S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_701 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy816 u S_cls E ≠ nb095AlphaDummy818 u S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_702 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy817 u S_cls E ≠ nb095AlphaDummy818 u S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_703 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy825 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_704 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy821 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy814 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_705 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy827 D R S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy815 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_706 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy826 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_707 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy822 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy817 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_708 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy828 u S_cls E ∉ (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E)).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy818 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_709 (f : SemanticCore.Var) :

nb095AlphaDummy093 f ∉ (SemanticCore.Class.cv f).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_710 (f : SemanticCore.Var) :

nb095AlphaDummy094 f ∉ (SemanticCore.Class.cv f).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_711 (f : SemanticCore.Var) :

nb095AlphaDummy093 f ≠ nb095AlphaDummy094 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_712 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy670 x u D R S_cls f E ∉ (SemanticCore.Class.cv f).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy005 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_713 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy740 x u D R S_cls f E ∉ (SemanticCore.Class.cv f).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy006 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_714 (f : SemanticCore.Var) :

nb095AlphaDummy014 f ∉ (SemanticCore.Class.cv f).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_715 (f : SemanticCore.Var) :

nb095AlphaDummy015 f ∉ (SemanticCore.Class.cv f).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_716 (f : SemanticCore.Var) :

nb095AlphaDummy016 f ∉ (SemanticCore.Class.cv f).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_717 (f : SemanticCore.Var) :

nb095AlphaDummy014 f ≠ nb095AlphaDummy015 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_718 (f : SemanticCore.Var) :

nb095AlphaDummy014 f ≠ nb095AlphaDummy016 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_719 (f : SemanticCore.Var) :

nb095AlphaDummy015 f ≠ nb095AlphaDummy016 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_720 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy005 x u D R S_cls f E ∉ (SemanticCore.Class.cv f).fv ∪ (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))).fv ∪ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_721 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy006 x u D R S_cls f E ∉ (SemanticCore.Class.cv f).fv ∪ (Compiler.CompactSourceSyntax.synCin R (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))) (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin S_cls (Compiler.CompactSourceSyntax.synCxp (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))) (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))))).fv ∪ (Compiler.CompactSourceSyntax.synCin D (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif R Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv x)))).fv ∪ (Compiler.CompactSourceSyntax.synCin E (Compiler.CompactSourceSyntax.synCima (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCdif S_cls Compiler.CompactSourceSyntax.synCid)) (Compiler.CompactSourceSyntax.synCsn (SemanticCore.Class.cv u)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_722 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy005 x u D R S_cls f E ≠ nb095AlphaDummy006 x u D R S_cls f E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_723 (f : SemanticCore.Var) :

nb095AlphaDummy297 f ∉ (SemanticCore.Class.cv f).fv ∪ Compiler.CompactSourceSyntax.synCvv.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_724 (f : SemanticCore.Var) :

nb095AlphaDummy298 f ∉ (SemanticCore.Class.cv f).fv ∪ Compiler.CompactSourceSyntax.synCvv.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_725 (f : SemanticCore.Var) :

nb095AlphaDummy297 f ≠ nb095AlphaDummy298 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_726 (u : SemanticCore.Var) :

nb095AlphaDummy344 u ∉ (SemanticCore.Class.cv u).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_727 (x : SemanticCore.Var) :

nb095AlphaDummy254 x ∉ (SemanticCore.Class.cv x).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_728 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy031 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy027 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy027 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy027 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_729 (f : SemanticCore.Var) :

nb095AlphaDummy032 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy029 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy029 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy029 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_730 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy067 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy063 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy063 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy063 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_731 (f : SemanticCore.Var) :

nb095AlphaDummy068 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy065 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy065 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy065 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_732 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy109 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy105 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy105 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy105 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_733 (f : SemanticCore.Var) :

nb095AlphaDummy110 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy107 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy107 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy107 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_734 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy145 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy141 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy141 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy141 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_735 (f : SemanticCore.Var) :

nb095AlphaDummy146 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy143 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy143 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy143 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_736 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy181 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy177 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy177 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy177 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_737 (f : SemanticCore.Var) :

nb095AlphaDummy182 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy179 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy179 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy179 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_738 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy221 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy217 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy217 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy217 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_739 (f : SemanticCore.Var) :

nb095AlphaDummy222 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy219 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy219 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy219 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_740 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy267 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy263 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy263 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy263 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_742 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy311 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy307 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy307 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy307 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_743 (f : SemanticCore.Var) :

nb095AlphaDummy312 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy309 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy309 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy309 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_744 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy357 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy353 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy353 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy353 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_746 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy405 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy401 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_747 (f : SemanticCore.Var) :

nb095AlphaDummy406 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy403 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy403 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy403 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_748 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy441 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy437 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_749 (f : SemanticCore.Var) :

nb095AlphaDummy442 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy439 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy439 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy439 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_750 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy483 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy479 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_751 (f : SemanticCore.Var) :

nb095AlphaDummy484 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy481 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy481 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy481 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_752 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy519 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy515 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_753 (f : SemanticCore.Var) :

nb095AlphaDummy520 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy517 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy517 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy517 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_754 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy555 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy551 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_755 (f : SemanticCore.Var) :

nb095AlphaDummy556 f ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy553 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy553 f)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy553 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_756 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy591 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy587 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_757 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy592 x u D R S_cls f E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy589 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_758 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy637 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy633 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_760 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy689 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy685 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_761 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy690 x u D R S_cls f E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy687 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_762 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy719 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy715 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_763 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy720 x u D R S_cls f E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy717 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_764 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy759 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy755 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_765 (x u : SemanticCore.Var) (D R S_cls : SemanticCore.Class) (f : SemanticCore.Var) (E : SemanticCore.Class) :

nb095AlphaDummy760 x u D R S_cls f E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy757 x u D R S_cls f E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_766 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy811 D R S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy807 D R S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_767 (u : SemanticCore.Var) (S_cls E : SemanticCore.Class) :

nb095AlphaDummy812 u S_cls E ∉ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb095AlphaDummy809 u S_cls E)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_768 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy465 D R S_cls E ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_769 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy466 D R S_cls E ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_770 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy465 D R S_cls E ≠ nb095AlphaDummy466 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_771 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy385 D R S_cls E ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_772 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy386 D R S_cls E ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_773 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy387 D R S_cls E ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_774 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy385 D R S_cls E ≠ nb095AlphaDummy386 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_775 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy385 D R S_cls E ≠ nb095AlphaDummy387 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_776 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy386 D R S_cls E ≠ nb095AlphaDummy387 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_777 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy205 D R S_cls E ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv ∪ Compiler.CompactSourceSyntax.synCvv.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_778 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy206 D R S_cls E ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv (nb095AlphaDummy000 D R S_cls E))).fv ∪ Compiler.CompactSourceSyntax.synCvv.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_779 (D R S_cls E : SemanticCore.Class) :

nb095AlphaDummy205 D R S_cls E ≠ nb095AlphaDummy206 D R S_cls E

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_780 (f : SemanticCore.Var) :

nb095AlphaDummy467 f ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_781 (f : SemanticCore.Var) :

nb095AlphaDummy468 f ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_782 (f : SemanticCore.Var) :

nb095AlphaDummy467 f ≠ nb095AlphaDummy468 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_783 (f : SemanticCore.Var) :

nb095AlphaDummy388 f ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_784 (f : SemanticCore.Var) :

nb095AlphaDummy389 f ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_fresh_785 (f : SemanticCore.Var) :

nb095AlphaDummy390 f ∉ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_786 (f : SemanticCore.Var) :

nb095AlphaDummy388 f ≠ nb095AlphaDummy389 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_787 (f : SemanticCore.Var) :

nb095AlphaDummy388 f ≠ nb095AlphaDummy390 f

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb095_distinct_788 (f : SemanticCore.Var) :

nb095AlphaDummy389 f ≠ nb095AlphaDummy390 f