Definition A2P {A} :=
 (fun (pmap : access_map) (a : address * A) =>
      let (a0, _) := a in let (b0, ofs0) := a0 in setPermBlock (Some Writable) b0 ofs0 pmap LKSIZE_nat).

Lemma AMap_Equal_PMap_eq {A} m m' : AMap.Equal m m' -> @A2PMap A m = @A2PMap A m'.