NF weak partition development: NAR4C054C001Part003.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0079 (x y : SemanticCore.Var) : nb054AlphaDummy061 x y ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb054AlphaDummy060 x y))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb054AlphaDummy061 x y))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0080 : nb054AlphaDummy058 ∈ (SemanticCore.Class.cv nb054AlphaDummy058).fv ∪ (SemanticCore.Class.cv nb054AlphaDummy058).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0081 (x y : SemanticCore.Var) : nb054AlphaDummy061 x y ∈ (SemanticCore.Class.cv (nb054AlphaDummy061 x y)).fv ∪ (SemanticCore.Class.cv (nb054AlphaDummy061 x y)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0082 : nb054AlphaDummy002 ∈ (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb054AlphaDummy000) (SemanticCore.Class.cv nb054AlphaDummy001)).fv ∪ (SemanticCore.Class.cv nb054AlphaDummy002).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0083 : nb054AlphaDummy002 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb054AlphaDummy006 (Compiler.CompactSourceSyntax.synWrex nb054AlphaDummy007 (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv nb054AlphaDummy000) (SemanticCore.Class.cv nb054AlphaDummy001)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb054AlphaDummy006) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb054AlphaDummy007)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb054AlphaDummy006 (Compiler.CompactSourceSyntax.synWrex nb054AlphaDummy007 (SemanticCore.Class.cv nb054AlphaDummy002) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb054AlphaDummy006) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb054AlphaDummy007)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0084 (x y : SemanticCore.Var) : nb054AlphaDummy003 x y ∈ (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv x) (SemanticCore.Class.cv y)).fv ∪ (SemanticCore.Class.cv (nb054AlphaDummy003 x y)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0085 (x y : SemanticCore.Var) : nb054AlphaDummy003 x y ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb054AlphaDummy008 x y) (Compiler.CompactSourceSyntax.synWrex (nb054AlphaDummy009 x y) (Compiler.CompactSourceSyntax.synCop (SemanticCore.Class.cv x) (SemanticCore.Class.cv y)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb054AlphaDummy008 x y)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb054AlphaDummy009 x y))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb054AlphaDummy008 x y) (Compiler.CompactSourceSyntax.synWrex (nb054AlphaDummy009 x y) (SemanticCore.Class.cv (nb054AlphaDummy003 x y)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb054AlphaDummy008 x y)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb054AlphaDummy009 x y))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0086 : nb054AlphaDummy002 ∈ (SemanticCore.Class.cab nb054AlphaDummy006 (Compiler.CompactSourceSyntax.synWrex nb054AlphaDummy007 (SemanticCore.Class.cv nb054AlphaDummy002) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb054AlphaDummy006) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb054AlphaDummy007)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb054AlphaDummy006 (Compiler.CompactSourceSyntax.synWrex nb054AlphaDummy007 (SemanticCore.Class.cv nb054AlphaDummy002) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb054AlphaDummy006) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb054AlphaDummy007)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0087 (x y : SemanticCore.Var) : nb054AlphaDummy003 x y ∈ (SemanticCore.Class.cab (nb054AlphaDummy008 x y) (Compiler.CompactSourceSyntax.synWrex (nb054AlphaDummy009 x y) (SemanticCore.Class.cv (nb054AlphaDummy003 x y)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb054AlphaDummy008 x y)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb054AlphaDummy009 x y))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb054AlphaDummy008 x y) (Compiler.CompactSourceSyntax.synWrex (nb054AlphaDummy009 x y) (SemanticCore.Class.cv (nb054AlphaDummy003 x y)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb054AlphaDummy008 x y)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb054AlphaDummy009 x y))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0088 : nb054AlphaDummy007 ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb054AlphaDummy007))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0089 (x y : SemanticCore.Var) : nb054AlphaDummy009 x y ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb054AlphaDummy009 x y)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0090 : nb054AlphaDummy007 ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb054AlphaDummy007)).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb054AlphaDummy007)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0091 (x y : SemanticCore.Var) : nb054AlphaDummy009 x y ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb054AlphaDummy009 x y))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb054AlphaDummy009 x y))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0092 : nb054AlphaDummy015 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb054AlphaDummy015) (SemanticCore.Class.cv nb054AlphaDummy078)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb054AlphaDummy015) (SemanticCore.Class.cv nb054AlphaDummy078)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0093 (x y : SemanticCore.Var) : nb054AlphaDummy017 x y ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb054AlphaDummy017 x y)) (SemanticCore.Class.cv (nb054AlphaDummy079 x y))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb054AlphaDummy017 x y)) (SemanticCore.Class.cv (nb054AlphaDummy079 x y))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0094 : nb054AlphaDummy015 ∈ (SemanticCore.Class.cv nb054AlphaDummy015).fv ∪ (SemanticCore.Class.cv nb054AlphaDummy078).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0095 (x y : SemanticCore.Var) : nb054AlphaDummy017 x y ∈ (SemanticCore.Class.cv (nb054AlphaDummy017 x y)).fv ∪ (SemanticCore.Class.cv (nb054AlphaDummy079 x y)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0096 : nb054AlphaDummy078 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb054AlphaDummy015) (SemanticCore.Class.cv nb054AlphaDummy078)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb054AlphaDummy015) (SemanticCore.Class.cv nb054AlphaDummy078)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0097 (x y : SemanticCore.Var) : nb054AlphaDummy079 x y ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb054AlphaDummy017 x y)) (SemanticCore.Class.cv (nb054AlphaDummy079 x y))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb054AlphaDummy017 x y)) (SemanticCore.Class.cv (nb054AlphaDummy079 x y))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0098 : nb054AlphaDummy078 ∈ (SemanticCore.Class.cv nb054AlphaDummy015).fv ∪ (SemanticCore.Class.cv nb054AlphaDummy078).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0099 (x y : SemanticCore.Var) : nb054AlphaDummy079 x y ∈ (SemanticCore.Class.cv (nb054AlphaDummy017 x y)).fv ∪ (SemanticCore.Class.cv (nb054AlphaDummy079 x y)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0100 : nb054AlphaDummy015 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb054AlphaDummy015)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb054AlphaDummy078)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0101 (x y : SemanticCore.Var) : nb054AlphaDummy017 x y ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb054AlphaDummy017 x y))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb054AlphaDummy079 x y))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0102 : nb054AlphaDummy015 ∈ (SemanticCore.Class.cv nb054AlphaDummy015).fv ∪ (SemanticCore.Class.cv nb054AlphaDummy015).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0103 (x y : SemanticCore.Var) : nb054AlphaDummy017 x y ∈ (SemanticCore.Class.cv (nb054AlphaDummy017 x y)).fv ∪ (SemanticCore.Class.cv (nb054AlphaDummy017 x y)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0104 : nb054AlphaDummy078 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb054AlphaDummy015)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb054AlphaDummy078)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0105 (x y : SemanticCore.Var) : nb054AlphaDummy079 x y ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb054AlphaDummy017 x y))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb054AlphaDummy079 x y))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0106 : nb054AlphaDummy078 ∈ (SemanticCore.Class.cv nb054AlphaDummy078).fv ∪ (SemanticCore.Class.cv nb054AlphaDummy078).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb054_support_mem_0107 (x y : SemanticCore.Var) : nb054AlphaDummy079 x y ∈ (SemanticCore.Class.cv (nb054AlphaDummy079 x y)).fv ∪ (SemanticCore.Class.cv (nb054AlphaDummy079 x y)).fv