Documentation

LeanPool.NFWeakPartition.NAR4C056C001Part005

NF weak partition development: NAR4C056C001Part005.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0128 :

nb056AlphaDummy128 ∈ (SemanticCore.Class.cv nb056AlphaDummy128).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0129 (f : SemanticCore.Var) :

nb056AlphaDummy130 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy130 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0130 :

nb056AlphaDummy135 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy135) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy135) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy135).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0132 :

nb056AlphaDummy135 ∈ (SemanticCore.Class.cv nb056AlphaDummy135).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0133 (f : SemanticCore.Var) :

nb056AlphaDummy137 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy137 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0134 :

nb056AlphaDummy142 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb056AlphaDummy142) (SemanticCore.Class.cv nb056AlphaDummy143)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb056AlphaDummy142) (SemanticCore.Class.cv nb056AlphaDummy143)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0135 (f : SemanticCore.Var) :

nb056AlphaDummy145 f ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb056AlphaDummy145 f)) (SemanticCore.Class.cv (nb056AlphaDummy146 f))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb056AlphaDummy145 f)) (SemanticCore.Class.cv (nb056AlphaDummy146 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0136 :

nb056AlphaDummy142 ∈ (SemanticCore.Class.cv nb056AlphaDummy142).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy143).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0137 (f : SemanticCore.Var) :

nb056AlphaDummy145 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy145 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy146 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0138 :

nb056AlphaDummy143 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb056AlphaDummy142) (SemanticCore.Class.cv nb056AlphaDummy143)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb056AlphaDummy142) (SemanticCore.Class.cv nb056AlphaDummy143)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0139 (f : SemanticCore.Var) :

nb056AlphaDummy146 f ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb056AlphaDummy145 f)) (SemanticCore.Class.cv (nb056AlphaDummy146 f))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb056AlphaDummy145 f)) (SemanticCore.Class.cv (nb056AlphaDummy146 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0140 :

nb056AlphaDummy143 ∈ (SemanticCore.Class.cv nb056AlphaDummy142).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy143).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0141 (f : SemanticCore.Var) :

nb056AlphaDummy146 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy145 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy146 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0142 :

nb056AlphaDummy142 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb056AlphaDummy142)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb056AlphaDummy143)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0143 (f : SemanticCore.Var) :

nb056AlphaDummy145 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb056AlphaDummy145 f))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb056AlphaDummy146 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0144 :

nb056AlphaDummy142 ∈ (SemanticCore.Class.cv nb056AlphaDummy142).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy142).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0145 (f : SemanticCore.Var) :

nb056AlphaDummy145 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy145 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy145 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0146 :

nb056AlphaDummy143 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb056AlphaDummy142)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb056AlphaDummy143)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0147 (f : SemanticCore.Var) :

nb056AlphaDummy146 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb056AlphaDummy145 f))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb056AlphaDummy146 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0148 :

nb056AlphaDummy143 ∈ (SemanticCore.Class.cv nb056AlphaDummy143).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy143).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0149 (f : SemanticCore.Var) :

nb056AlphaDummy146 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy146 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy146 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0150 :

nb056AlphaDummy085 ∈ (SemanticCore.Class.cv nb056AlphaDummy086).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy085).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0151 :

nb056AlphaDummy085 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb056AlphaDummy127 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy128 (SemanticCore.Class.cv nb056AlphaDummy086) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy127) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb056AlphaDummy127 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy128 (SemanticCore.Class.cv nb056AlphaDummy085) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy127) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0152 (f : SemanticCore.Var) :

nb056AlphaDummy087 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy088 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy087 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0153 (f : SemanticCore.Var) :

nb056AlphaDummy087 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb056AlphaDummy129 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy130 f) (SemanticCore.Class.cv (nb056AlphaDummy088 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy129 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb056AlphaDummy129 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy130 f) (SemanticCore.Class.cv (nb056AlphaDummy087 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy129 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0154 :

nb056AlphaDummy085 ∈ (SemanticCore.Class.cab nb056AlphaDummy127 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy128 (SemanticCore.Class.cv nb056AlphaDummy085) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy127) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb056AlphaDummy127 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy128 (SemanticCore.Class.cv nb056AlphaDummy085) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy127) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0155 (f : SemanticCore.Var) :

nb056AlphaDummy087 f ∈ (SemanticCore.Class.cab (nb056AlphaDummy129 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy130 f) (SemanticCore.Class.cv (nb056AlphaDummy087 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy129 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb056AlphaDummy129 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy130 f) (SemanticCore.Class.cv (nb056AlphaDummy087 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy129 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0156 :

nb056AlphaDummy128 ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0157 (f : SemanticCore.Var) :

nb056AlphaDummy130 f ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0158 :

nb056AlphaDummy128 ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128)).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy128)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0159 (f : SemanticCore.Var) :

nb056AlphaDummy130 f ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy130 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0161 (f : SemanticCore.Var) :

f ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))) Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))) Compiler.CompactSourceSyntax.synCid).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0162 :

nb056AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb056AlphaDummy000) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb056AlphaDummy000))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0163 (f : SemanticCore.Var) :

f ∈ (Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f) (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))).fv ∪ Compiler.CompactSourceSyntax.synCid.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0164 :

nb056AlphaDummy000 ∈ (SemanticCore.Class.cv nb056AlphaDummy000).fv ∪ (Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb056AlphaDummy000)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0166 (f : SemanticCore.Var) :

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

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0169 (f : SemanticCore.Var) :

f ∈ {nb056AlphaDummy087 f} ∪ {nb056AlphaDummy088 f} ∪ (Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb056AlphaDummy088 f)) (SemanticCore.Class.cv f) (SemanticCore.Class.cv (nb056AlphaDummy087 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0170 :

nb056AlphaDummy000 ∈ (SemanticCore.Class.cv nb056AlphaDummy000).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0171 (f : SemanticCore.Var) :

f ∈ (SemanticCore.Class.cv f).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0172 :

nb056AlphaDummy007 ∈ (SemanticCore.Class.cv nb056AlphaDummy007).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy006).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0173 :

nb056AlphaDummy007 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb056AlphaDummy163 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy007) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb056AlphaDummy163 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0174 (f : SemanticCore.Var) :

nb056AlphaDummy010 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy010 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy009 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0175 (f : SemanticCore.Var) :

nb056AlphaDummy010 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb056AlphaDummy165 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy010 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb056AlphaDummy165 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0177 (f : SemanticCore.Var) :

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0178 :

nb056AlphaDummy164 ∈ (SemanticCore.Class.cv nb056AlphaDummy164).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0179 (f : SemanticCore.Var) :

nb056AlphaDummy166 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy166 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0180 :

nb056AlphaDummy171 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb056AlphaDummy171) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb056AlphaDummy171) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy171).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0182 :

nb056AlphaDummy171 ∈ (SemanticCore.Class.cv nb056AlphaDummy171).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0183 (f : SemanticCore.Var) :

nb056AlphaDummy173 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy173 f)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0184 :

nb056AlphaDummy178 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb056AlphaDummy178) (SemanticCore.Class.cv nb056AlphaDummy179)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb056AlphaDummy178) (SemanticCore.Class.cv nb056AlphaDummy179)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0185 (f : SemanticCore.Var) :

nb056AlphaDummy181 f ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb056AlphaDummy181 f)) (SemanticCore.Class.cv (nb056AlphaDummy182 f))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb056AlphaDummy181 f)) (SemanticCore.Class.cv (nb056AlphaDummy182 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0186 :

nb056AlphaDummy178 ∈ (SemanticCore.Class.cv nb056AlphaDummy178).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy179).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0187 (f : SemanticCore.Var) :

nb056AlphaDummy181 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy181 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy182 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0188 :

nb056AlphaDummy179 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb056AlphaDummy178) (SemanticCore.Class.cv nb056AlphaDummy179)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb056AlphaDummy178) (SemanticCore.Class.cv nb056AlphaDummy179)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0189 (f : SemanticCore.Var) :

nb056AlphaDummy182 f ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb056AlphaDummy181 f)) (SemanticCore.Class.cv (nb056AlphaDummy182 f))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb056AlphaDummy181 f)) (SemanticCore.Class.cv (nb056AlphaDummy182 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0190 :

nb056AlphaDummy179 ∈ (SemanticCore.Class.cv nb056AlphaDummy178).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy179).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0191 (f : SemanticCore.Var) :

nb056AlphaDummy182 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy181 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy182 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0192 :

nb056AlphaDummy178 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb056AlphaDummy178)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb056AlphaDummy179)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0193 (f : SemanticCore.Var) :

nb056AlphaDummy181 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb056AlphaDummy181 f))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb056AlphaDummy182 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0194 :

nb056AlphaDummy178 ∈ (SemanticCore.Class.cv nb056AlphaDummy178).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy178).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0195 (f : SemanticCore.Var) :

nb056AlphaDummy181 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy181 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy181 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0196 :

nb056AlphaDummy179 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb056AlphaDummy178)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb056AlphaDummy179)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0197 (f : SemanticCore.Var) :

nb056AlphaDummy182 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb056AlphaDummy181 f))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb056AlphaDummy182 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0198 :

nb056AlphaDummy179 ∈ (SemanticCore.Class.cv nb056AlphaDummy179).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy179).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0199 (f : SemanticCore.Var) :

nb056AlphaDummy182 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy182 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy182 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0200 :

nb056AlphaDummy006 ∈ (SemanticCore.Class.cv nb056AlphaDummy007).fv ∪ (SemanticCore.Class.cv nb056AlphaDummy006).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0201 :

nb056AlphaDummy006 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb056AlphaDummy163 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy007) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb056AlphaDummy163 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0202 (f : SemanticCore.Var) :

nb056AlphaDummy009 f ∈ (SemanticCore.Class.cv (nb056AlphaDummy010 f)).fv ∪ (SemanticCore.Class.cv (nb056AlphaDummy009 f)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0203 (f : SemanticCore.Var) :

nb056AlphaDummy009 f ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb056AlphaDummy165 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy010 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb056AlphaDummy165 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0204 :

nb056AlphaDummy006 ∈ (SemanticCore.Class.cab nb056AlphaDummy163 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb056AlphaDummy163 (Compiler.CompactSourceSyntax.synWrex nb056AlphaDummy164 (SemanticCore.Class.cv nb056AlphaDummy006) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb056AlphaDummy163) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0205 (f : SemanticCore.Var) :

nb056AlphaDummy009 f ∈ (SemanticCore.Class.cab (nb056AlphaDummy165 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb056AlphaDummy165 f) (Compiler.CompactSourceSyntax.synWrex (nb056AlphaDummy166 f) (SemanticCore.Class.cv (nb056AlphaDummy009 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb056AlphaDummy165 f)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0206 :

nb056AlphaDummy164 ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0207 (f : SemanticCore.Var) :

nb056AlphaDummy166 f ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0208 :

nb056AlphaDummy164 ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb056AlphaDummy164)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_support_mem_0209 (f : SemanticCore.Var) :

nb056AlphaDummy166 f ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb056AlphaDummy166 f))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_compact_fv_empty_0026 :

nb056AlphaDummy003 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_compact_fv_empty_0027 (f : SemanticCore.Var) :

nb056AlphaDummy004 f ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_compact_fv_empty_0028 :

nb056AlphaDummy001 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_compact_fv_empty_0029 (f : SemanticCore.Var) :

nb056AlphaDummy002 f ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_compact_fv_empty_0030 :

nb056AlphaDummy000 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb056_compact_fv_empty_0031 (f : SemanticCore.Var) :

f ∉ ∅