let P be Instruction-Sequence of SCM+FSA; for I being Program of
for a being read-write Int-Location
for s being State of SCM+FSA holds (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))) + 3))
let I be Program of ; for a being read-write Int-Location
for s being State of SCM+FSA holds (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))) + 3))
let a be read-write Int-Location ; for s being State of SCM+FSA holds (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))) + 3))
let s be State of SCM+FSA; (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))) + 3))
A1:
(StepWhile=0 (a,I,P,s)) . 0 = s
by Def4;
thus
(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))) + 3))
by A1, Def4; verum