let p be Instruction-Sequence of SCM+FSA; :: thesis: for s being State of SCM+FSA
for I, J being really-closed MacroInstruction of SCM+FSA
for a being read-write Int-Location st s . a <= 0 & J is_halting_onInit s,p holds
if>0 (a,I,J) is_halting_onInit s,p
let s be State of SCM+FSA; :: thesis: for I, J being really-closed MacroInstruction of SCM+FSA
for a being read-write Int-Location st s . a <= 0 & J is_halting_onInit s,p holds
if>0 (a,I,J) is_halting_onInit s,p
let I, J be really-closed MacroInstruction of SCM+FSA ; :: thesis: for a being read-write Int-Location st s . a <= 0 & J is_halting_onInit s,p holds
if>0 (a,I,J) is_halting_onInit s,p
let a be read-write Int-Location; :: thesis: ( s . a <= 0 & J is_halting_onInit s,p implies if>0 (a,I,J) is_halting_onInit s,p )
set Is = Initialized s;
assume s . a <= 0 ; :: thesis: ( not J is_halting_onInit s,p or if>0 (a,I,J) is_halting_onInit s,p )
then A1: (Initialized s) . a <= 0 by SCMFSA_M:37;
assume J is_halting_onInit s,p ; :: thesis: if>0 (a,I,J) is_halting_onInit s,p
then J is_halting_on Initialized s,p by Th27;
then if>0 (a,I,J) is_halting_on Initialized s,p by A1, SCMFSA8B:21;
hence if>0 (a,I,J) is_halting_onInit s,p by Th27; :: thesis: verum