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