theorem Th12: :: SCMFSA8B:18

for P being Instruction-Sequence of SCM+FSA
for s being State of SCM+FSA
for I, J being really-closed parahalting MacroInstruction of SCM+FSA
for a being read-write Int-Location holds
( IC (IExec ((if=0 (a,I,J)),P,s)) = ((card I) + (card J)) + 3 & ( s . a = 0 implies ( ( for d being Int-Location holds (IExec ((if=0 (a,I,J)),P,s)) . d = (IExec (I,P,s)) . d ) & ( for f being FinSeq-Location holds (IExec ((if=0 (a,I,J)),P,s)) . f = (IExec (I,P,s)) . f ) ) ) & ( s . a <> 0 implies ( ( for d being Int-Location holds (IExec ((if=0 (a,I,J)),P,s)) . d = (IExec (J,P,s)) . d ) & ( for f being FinSeq-Location holds (IExec ((if=0 (a,I,J)),P,s)) . f = (IExec (J,P,s)) . f ) ) ) )