Definition env_mapsto: forall {key A}{KE: EqDec key} (id: key) (sh: Share.t) (v: A) , pred (env key A) := @_env_mapsto.

Lemma env_mapsto_set {key A}{KE: EqDec key}: forall id (v: A), env_mapsto id Share.top v (env_set id v empty_env).