Variables C D : Type.

(* Specifications: *)
Lemma MapSubset_DomRestrTo_mono :
forall (m:Map A) (m':Map B) (m'':Map C) (m''':Map D),
MapSubset _ _ m m'' ->
MapSubset _ _ m' m''' ->
MapSubset _ _ (MapDomRestrTo _ _ m m') (MapDomRestrTo _ _ m'' m''').
Lemma MapSubset_DomRestrBy_l :
forall (m:Map A) (m':Map B), MapSubset A A (MapDomRestrBy A B m m') m.
Lemma MapSubset_DomRestrBy_mono :
forall (m:Map A) (m':Map B) (m'':Map C) (m''':Map D),
MapSubset _ _ m m'' ->
MapSubset _ _ m''' m' ->
MapSubset _ _ (MapDomRestrBy _ _ m m') (MapDomRestrBy _ _ m'' m''').