let N be with_zero set ; :: thesis: for S being non empty with_non-empty_values IC-Ins-separated Mem-Struct over N
for s being State of S st IC s = 0 holds
Initialize s = s
let S be non empty with_non-empty_values IC-Ins-separated Mem-Struct over 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 in dom s by Th2;
thus Initialize s = s by A1, A2, FUNCT_7:109; :: thesis: verum