(* Collect lemmas that are missing from the Coq stdlib and describe the Ensemble-operations as boolean algebra. Associativity, idempotence, commutativity, complements, distributivity, … *)
From Coq.Sets Require Export Powerset_facts.
From ZornsLemma Require Export EnsemblesImplicit EnsemblesTactics.

Lemma Setminus_Intersection {X : Type} (U V : Ensemble X) :
Setminus U V = Intersection U (Complement V).