let p be Instruction-Sequence of SCM+FSA; :: thesis: for s being State of SCM+FSA
for I being really-closed MacroInstruction of SCM+FSA
for J being MacroInstruction of SCM+FSA
for a being read-write Int-Location st s . a = 0 & I 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 being really-closed MacroInstruction of SCM+FSA
for J being MacroInstruction of SCM+FSA
for a being read-write Int-Location st s . a = 0 & I is_halting_onInit s,p holds
if=0 (a,I,J) is_halting_onInit s,p
let I be really-closed MacroInstruction of SCM+FSA ; :: thesis: for J being MacroInstruction of SCM+FSA
for a being read-write Int-Location st s . a = 0 & I is_halting_onInit s,p holds
if=0 (a,I,J) is_halting_onInit s,p
let J be MacroInstruction of SCM+FSA ; :: thesis: for a being read-write Int-Location st s . a = 0 & I 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 & I 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 I 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 I is_halting_onInit s,p ; :: thesis: if=0 (a,I,J) is_halting_onInit s,p
then I is_halting_on Initialized s,p by Th27;
then if=0 (a,I,J) is_halting_on Initialized s,p by A1, SCMFSA8B:13;
hence if=0 (a,I,J) is_halting_onInit s,p by Th27; :: thesis: verum