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LeanPool.NFWeakPartition.AlphaSupport.NAR4C071C001Part003Stage1

NF weak partition development: NAR4C071C001Part003.

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0054 :

nb071AlphaDummy065 ∈ (SemanticCore.Class.cv nb071AlphaDummy065).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy042).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0055 (x : SemanticCore.Var) :

nb071AlphaDummy066 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy066 x)).fv ∪ (SemanticCore.Class.cv (nb071AlphaDummy044 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0056 :

nb071AlphaDummy042 ∈ Compiler.CompactSourceSyntax.synCen.fv ∪ (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCpw1 (SemanticCore.Class.cv nb071AlphaDummy042))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0057 (x : SemanticCore.Var) :

nb071AlphaDummy044 x ∈ Compiler.CompactSourceSyntax.synCen.fv ∪ (Compiler.CompactSourceSyntax.synCsn (Compiler.CompactSourceSyntax.synCpw1 (SemanticCore.Class.cv (nb071AlphaDummy044 x)))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0058 :

nb071AlphaDummy042 ∈ (Compiler.CompactSourceSyntax.synCpw1 (SemanticCore.Class.cv nb071AlphaDummy042)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0059 (x : SemanticCore.Var) :

nb071AlphaDummy044 x ∈ (Compiler.CompactSourceSyntax.synCpw1 (SemanticCore.Class.cv (nb071AlphaDummy044 x))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0060 :

nb071AlphaDummy042 ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv nb071AlphaDummy042)) Compiler.CompactSourceSyntax.synC1c).fv ∪ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv nb071AlphaDummy042)) Compiler.CompactSourceSyntax.synC1c).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0061 (x : SemanticCore.Var) :

nb071AlphaDummy044 x ∈ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv (nb071AlphaDummy044 x))) Compiler.CompactSourceSyntax.synC1c).fv ∪ (Compiler.CompactSourceSyntax.synCnin (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv (nb071AlphaDummy044 x))) Compiler.CompactSourceSyntax.synC1c).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0062 :

nb071AlphaDummy042 ∈ (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv nb071AlphaDummy042)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0063 (x : SemanticCore.Var) :

nb071AlphaDummy044 x ∈ (Compiler.CompactSourceSyntax.synCpw (SemanticCore.Class.cv (nb071AlphaDummy044 x))).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0064 :

nb071AlphaDummy042 ∈ (SemanticCore.Class.cv nb071AlphaDummy042).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0065 (x : SemanticCore.Var) :

nb071AlphaDummy044 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy044 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0066 :

nb071AlphaDummy042 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb071AlphaDummy065) (SemanticCore.Class.cv nb071AlphaDummy042)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb071AlphaDummy065) (SemanticCore.Class.cv nb071AlphaDummy042)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0067 (x : SemanticCore.Var) :

nb071AlphaDummy044 x ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb071AlphaDummy066 x)) (SemanticCore.Class.cv (nb071AlphaDummy044 x))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb071AlphaDummy066 x)) (SemanticCore.Class.cv (nb071AlphaDummy044 x))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0068 :

nb071AlphaDummy042 ∈ (SemanticCore.Class.cv nb071AlphaDummy065).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy042).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0069 (x : SemanticCore.Var) :

nb071AlphaDummy044 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy066 x)).fv ∪ (SemanticCore.Class.cv (nb071AlphaDummy044 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0070 :

nb071AlphaDummy056 ∈ (SemanticCore.Class.cv nb071AlphaDummy056).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy055).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0071 :

nb071AlphaDummy056 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb071AlphaDummy071 (Compiler.CompactSourceSyntax.synWrex nb071AlphaDummy072 (SemanticCore.Class.cv nb071AlphaDummy056) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb071AlphaDummy071) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb071AlphaDummy071 (Compiler.CompactSourceSyntax.synWrex nb071AlphaDummy072 (SemanticCore.Class.cv nb071AlphaDummy055) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb071AlphaDummy071) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0072 (x : SemanticCore.Var) :

nb071AlphaDummy058 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy058 x)).fv ∪ (SemanticCore.Class.cv (nb071AlphaDummy057 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0073 (x : SemanticCore.Var) :

nb071AlphaDummy058 x ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb071AlphaDummy073 x) (Compiler.CompactSourceSyntax.synWrex (nb071AlphaDummy074 x) (SemanticCore.Class.cv (nb071AlphaDummy058 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb071AlphaDummy073 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb071AlphaDummy073 x) (Compiler.CompactSourceSyntax.synWrex (nb071AlphaDummy074 x) (SemanticCore.Class.cv (nb071AlphaDummy057 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb071AlphaDummy073 x)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0075 (x : SemanticCore.Var) :

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0076 :

nb071AlphaDummy072 ∈ (SemanticCore.Class.cv nb071AlphaDummy072).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0077 (x : SemanticCore.Var) :

nb071AlphaDummy074 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy074 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0078 :

nb071AlphaDummy079 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb071AlphaDummy079) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb071AlphaDummy079) Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy079).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0080 :

nb071AlphaDummy079 ∈ (SemanticCore.Class.cv nb071AlphaDummy079).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0081 (x : SemanticCore.Var) :

nb071AlphaDummy081 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy081 x)).fv ∪ Compiler.CompactSourceSyntax.synC1c.fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0082 :

nb071AlphaDummy086 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb071AlphaDummy086) (SemanticCore.Class.cv nb071AlphaDummy087)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb071AlphaDummy086) (SemanticCore.Class.cv nb071AlphaDummy087)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0083 (x : SemanticCore.Var) :

nb071AlphaDummy089 x ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb071AlphaDummy089 x)) (SemanticCore.Class.cv (nb071AlphaDummy090 x))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb071AlphaDummy089 x)) (SemanticCore.Class.cv (nb071AlphaDummy090 x))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0084 :

nb071AlphaDummy086 ∈ (SemanticCore.Class.cv nb071AlphaDummy086).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy087).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0085 (x : SemanticCore.Var) :

nb071AlphaDummy089 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy089 x)).fv ∪ (SemanticCore.Class.cv (nb071AlphaDummy090 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0086 :

nb071AlphaDummy087 ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb071AlphaDummy086) (SemanticCore.Class.cv nb071AlphaDummy087)).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv nb071AlphaDummy086) (SemanticCore.Class.cv nb071AlphaDummy087)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0087 (x : SemanticCore.Var) :

nb071AlphaDummy090 x ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb071AlphaDummy089 x)) (SemanticCore.Class.cv (nb071AlphaDummy090 x))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb071AlphaDummy089 x)) (SemanticCore.Class.cv (nb071AlphaDummy090 x))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0088 :

nb071AlphaDummy087 ∈ (SemanticCore.Class.cv nb071AlphaDummy086).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy087).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0089 (x : SemanticCore.Var) :

nb071AlphaDummy090 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy089 x)).fv ∪ (SemanticCore.Class.cv (nb071AlphaDummy090 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0090 :

nb071AlphaDummy086 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb071AlphaDummy086)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb071AlphaDummy087)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0091 (x : SemanticCore.Var) :

nb071AlphaDummy089 x ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb071AlphaDummy089 x))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb071AlphaDummy090 x))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0092 :

nb071AlphaDummy086 ∈ (SemanticCore.Class.cv nb071AlphaDummy086).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy086).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0093 (x : SemanticCore.Var) :

nb071AlphaDummy089 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy089 x)).fv ∪ (SemanticCore.Class.cv (nb071AlphaDummy089 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0094 :

nb071AlphaDummy087 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb071AlphaDummy086)).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv nb071AlphaDummy087)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0095 (x : SemanticCore.Var) :

nb071AlphaDummy090 x ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb071AlphaDummy089 x))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cv (nb071AlphaDummy090 x))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0096 :

nb071AlphaDummy087 ∈ (SemanticCore.Class.cv nb071AlphaDummy087).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy087).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0097 (x : SemanticCore.Var) :

nb071AlphaDummy090 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy090 x)).fv ∪ (SemanticCore.Class.cv (nb071AlphaDummy090 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0098 :

nb071AlphaDummy055 ∈ (SemanticCore.Class.cv nb071AlphaDummy056).fv ∪ (SemanticCore.Class.cv nb071AlphaDummy055).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0099 :

nb071AlphaDummy055 ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb071AlphaDummy071 (Compiler.CompactSourceSyntax.synWrex nb071AlphaDummy072 (SemanticCore.Class.cv nb071AlphaDummy056) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb071AlphaDummy071) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab nb071AlphaDummy071 (Compiler.CompactSourceSyntax.synWrex nb071AlphaDummy072 (SemanticCore.Class.cv nb071AlphaDummy055) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb071AlphaDummy071) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0100 (x : SemanticCore.Var) :

nb071AlphaDummy057 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy058 x)).fv ∪ (SemanticCore.Class.cv (nb071AlphaDummy057 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0101 (x : SemanticCore.Var) :

nb071AlphaDummy057 x ∈ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb071AlphaDummy073 x) (Compiler.CompactSourceSyntax.synWrex (nb071AlphaDummy074 x) (SemanticCore.Class.cv (nb071AlphaDummy058 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb071AlphaDummy073 x)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (SemanticCore.Class.cab (nb071AlphaDummy073 x) (Compiler.CompactSourceSyntax.synWrex (nb071AlphaDummy074 x) (SemanticCore.Class.cv (nb071AlphaDummy057 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb071AlphaDummy073 x)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0102 :

nb071AlphaDummy055 ∈ (SemanticCore.Class.cab nb071AlphaDummy071 (Compiler.CompactSourceSyntax.synWrex nb071AlphaDummy072 (SemanticCore.Class.cv nb071AlphaDummy055) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb071AlphaDummy071) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb071AlphaDummy071 (Compiler.CompactSourceSyntax.synWrex nb071AlphaDummy072 (SemanticCore.Class.cv nb071AlphaDummy055) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb071AlphaDummy071) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072)) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0103 (x : SemanticCore.Var) :

nb071AlphaDummy057 x ∈ (SemanticCore.Class.cab (nb071AlphaDummy073 x) (Compiler.CompactSourceSyntax.synWrex (nb071AlphaDummy074 x) (SemanticCore.Class.cv (nb071AlphaDummy057 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb071AlphaDummy073 x)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb071AlphaDummy073 x) (Compiler.CompactSourceSyntax.synWrex (nb071AlphaDummy074 x) (SemanticCore.Class.cv (nb071AlphaDummy057 x)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb071AlphaDummy073 x)) (Compiler.CompactSourceSyntax.synCun (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x))) (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0104 :

nb071AlphaDummy072 ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0105 (x : SemanticCore.Var) :

nb071AlphaDummy074 x ∈ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x)))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0106 :

nb071AlphaDummy072 ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072)).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb071AlphaDummy072)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0107 (x : SemanticCore.Var) :

nb071AlphaDummy074 x ∈ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x))).fv ∪ (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb071AlphaDummy074 x))).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0108 :

nb071AlphaDummy045 ∈ (SemanticCore.Class.cv nb071AlphaDummy045).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_support_mem_0109 (x : SemanticCore.Var) :

nb071AlphaDummy046 x ∈ (SemanticCore.Class.cv (nb071AlphaDummy046 x)).fv

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_compact_fv_empty_0020 :

nb071AlphaDummy001 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_compact_fv_empty_0021 (x : SemanticCore.Var) :

nb071AlphaDummy002 x ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_compact_fv_empty_0022 :

nb071AlphaDummy000 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_compact_fv_empty_0023 (x : SemanticCore.Var) :

x ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_compact_fv_empty_0024 :

nb071AlphaDummy003 ∉ ∅

theorem NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb071_compact_fv_empty_0025 (x : SemanticCore.Var) :

nb071AlphaDummy004 x ∉ ∅