let P be Instruction-Sequence of SCM+FSA; :: thesis: for I being MacroInstruction of SCM+FSA
for a being read-write Int-Location
for s being State of SCM+FSA holds (StepWhile>0 (a,I,P,s)) . 1 = Comput ((P +* (while>0 (a,I))),(Initialize s),((LifeSpan (((P +* (while>0 (a,I))) +* I),(Initialize s))) + 2))
let I be MacroInstruction of SCM+FSA ; :: thesis: for a being read-write Int-Location
for s being State of SCM+FSA holds (StepWhile>0 (a,I,P,s)) . 1 = Comput ((P +* (while>0 (a,I))),(Initialize s),((LifeSpan (((P +* (while>0 (a,I))) +* I),(Initialize s))) + 2))
let a be read-write Int-Location; :: thesis: for s being State of SCM+FSA holds (StepWhile>0 (a,I,P,s)) . 1 = Comput ((P +* (while>0 (a,I))),(Initialize s),((LifeSpan (((P +* (while>0 (a,I))) +* I),(Initialize s))) + 2))
let s be State of SCM+FSA; :: thesis: (StepWhile>0 (a,I,P,s)) . 1 = Comput ((P +* (while>0 (a,I))),(Initialize s),((LifeSpan (((P +* (while>0 (a,I))) +* I),(Initialize s))) + 2))
A1: (StepWhile>0 (a,I,P,s)) . 0 = s by Def2;
thus (StepWhile>0 (a,I,P,s)) . 1 = (StepWhile>0 (a,I,P,s)) . (0 + 1)
.= Comput ((P +* (while>0 (a,I))),(Initialize s),((LifeSpan (((P +* (while>0 (a,I))) +* I),(Initialize s))) + 2)) by A1, Def2 ; :: thesis: verum