theorem Th113: :: AOFA_L00:115

for n being non empty Nat
for J being non empty non void Signature
for T being non-empty MSAlgebra over J
for X being empty-yielding GeneratorSet of T
for S1 being non empty non void b₂ -extension b₁ PC-correct QC-correct QCLangSignature over Union X
for L being non-empty Language of X extended_by ({}, the carrier of S1),S1
for A being Formula of L
for x being Element of Union X st L is vf-qc-correct holds
for a being SortSymbol of S1 st x in X . a holds
x nin (vf (\for (x,A))) . a