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 )
IC in dom s by Th2;
hence ( IC s = 0 implies Initialize s = s ) by FUNCT_7:96; :: thesis: verum