theorem :: AOFA_L00:154

for n being natural non empty number
for J being non empty non void Signature
for T being non-empty VarMSAlgebra over J
for X being non-empty GeneratorSet of T
for S being non empty non void b₂ -extension b₁ PC-correct QC-correct b₁ AL-correct essential AlgLangSignature over Union X
for L being non empty IfWhileAlgebra of X,S
for M being Algorithm of L
for A, B, C, V being Formula of L
for H being AL-theory of V,L holds (M * ((A \and B) \and C)) \iff (((M * A) \and (M * B)) \and (M * C)) in H