let I be Program of ; :: thesis: for k being Element of NAT holds UsedIntLoc I = UsedIntLoc (Reloc (I,k))
let k be Element of NAT ; :: thesis: UsedIntLoc I = UsedIntLoc (Reloc (I,k))
A1: Reloc (I,k) = IncAddr ((Shift (I,k)),k) by COMPOS_1:34;
UsedIntLoc (Reloc (I,k)) = UsedIntLoc (Reloc (I,k))
.= UsedIntLoc (Shift (I,k)) by Th24, A1
.= UsedIntLoc I by Th22 ;
hence UsedIntLoc I = UsedIntLoc (Reloc (I,k)) ; :: thesis: verum