let N be non empty with_non-empty_elements set ; :: thesis: for S being non empty stored-program IC-Ins-separated definite realistic COM-Struct of N
for s being State of S st IC s = 0 holds
Initialize s = s
let S be non empty stored-program IC-Ins-separated definite realistic COM-Struct of N; :: thesis: for s being State of S st IC s = 0 holds
Initialize s = s
let s be State of S; :: thesis: ( IC s = 0 implies Initialize s = s )
assume A1: IC s = 0 ; :: thesis: Initialize s = s
A2: IC S in dom s by Th9;
thus Initialize s = s +* ((IC S) .--> 0)
.= s by A1, A2, FUNCT_7:111 ; :: thesis: verum