proposition: Lemma indom_update_of_indom : forall A `{Inhab B} (m:map A B) (i j:A) (v:B), j \indom m -> j \indom (m[i:=v]).
proof: Proof. Proof using. intros. rewrite~ indom_update_eq. Qed.
imports: TLC(LibTactics LibLogic LibReflect LibOption LibRelation LibLogic LibOperation LibEpsilon LibMonoid LibSet)