let s be State of SCM+FSA ; :: thesis: for I, J being Program of SCM+FSA
for a being read-write Int-Location st s . a > 0 & I is_closed_onInit s & I is_halting_onInit s holds
IExec (if>0 a,I,J),s = (IExec I,s) +* (Start-At (insloc (((card I) + (card J)) + 3)))
let I, J be Program of SCM+FSA ; :: thesis: for a being read-write Int-Location st s . a > 0 & I is_closed_onInit s & I is_halting_onInit s holds
IExec (if>0 a,I,J),s = (IExec I,s) +* (Start-At (insloc (((card I) + (card J)) + 3)))
let a be read-write Int-Location ; :: thesis: ( s . a > 0 & I is_closed_onInit s & I is_halting_onInit s implies IExec (if>0 a,I,J),s = (IExec I,s) +* (Start-At (insloc (((card I) + (card J)) + 3))) )
assume A1: s . a > 0 ; :: thesis: ( not I is_closed_onInit s or not I is_halting_onInit s or IExec (if>0 a,I,J),s = (IExec I,s) +* (Start-At (insloc (((card I) + (card J)) + 3))) )
assume A2: I is_closed_onInit s ; :: thesis: ( not I is_halting_onInit s or IExec (if>0 a,I,J),s = (IExec I,s) +* (Start-At (insloc (((card I) + (card J)) + 3))) )
assume A3: I is_halting_onInit s ; :: thesis: IExec (if>0 a,I,J),s = (IExec I,s) +* (Start-At (insloc (((card I) + (card J)) + 3)))
set Is = Initialize s;
A4: I is_closed_on Initialize s by A2, Th40;
I is_halting_on Initialize s by A3, Th41;
hence IExec (if>0 a,I,J),s = (IExec I,s) +* (Start-At (insloc (((card I) + (card J)) + 3))) by A1, A4, SCMFSA8B:23; :: thesis: verum