(* 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.
Require Export EnsemblesImplicit EnsemblesTactics.

Lemma Intersection_Full_set
{X : Type}
{U : Ensemble X} :
Intersection Full_set U = U.