(***********************************************************************)

Goal forall mu (WD: SM_wd mu) m1 m2 m2'
(U: Mem.unchanged_on (local_out_of_reach mu m1) m2 m2'),
Mem.unchanged_on (fun b ofs => pubBlocksTgt mu b = true /\
                  loc_out_of_reach (pub_of mu) m1 b ofs) m2 m2'.Goal forall mu (WD: SM_wd mu) m1 m2 m2'
(U: Mem.unchanged_on (local_out_of_reach mu m1) m2 m2'),
Mem.unchanged_on (fun b ofs => locBlocksTgt mu b = true /\
                    pubBlocksTgt mu b = false) m2 m2'.Goal forall mu m1 m2 m2' (WD:SM_wd mu)
  (U1: Mem.unchanged_on (fun b ofs => locBlocksTgt mu b = true /\
                    pubBlocksTgt mu b = false) m2 m2')
  (U2: Mem.unchanged_on (fun b ofs => pubBlocksTgt mu b = true /\
                  loc_out_of_reach (pub_of mu) m1 b ofs) m2 m2'),
Mem.unchanged_on (local_out_of_reach mu m1) m2 m2'.

Lemma freshloc_alloc: forall m1 lo hi m2 b (ALLOC: Mem.alloc m1 lo hi = (m2, b)), freshloc m1 m2 = fun bb => eq_block bb b.