let N be non empty with_non-empty_elements set ; :: thesis: for S being non empty stored-program halting IC-Ins-separated definite realistic AMI-Struct of N
for d being data-only FinPartState of S
for f being NAT -defined the Instructions of b₁ -valued finite Function holds d tolerates f
let S be non empty stored-program halting IC-Ins-separated definite realistic AMI-Struct of N; :: thesis: for d being data-only FinPartState of S
for f being NAT -defined the Instructions of S -valued finite Function holds d tolerates f
let d be data-only FinPartState of S; :: thesis: for f being NAT -defined the Instructions of S -valued finite Function holds d tolerates f
let f be NAT -defined the Instructions of S -valued finite Function; :: thesis: d tolerates f
A1: dom f c= NAT by RELAT_1:def 18;
dom d c= Data-Locations S by AMI_1:139;
then dom d misses dom f by A1, Th15, XBOOLE_1:64;
hence d tolerates f by PARTFUN1:138; :: thesis: verum