proposition: Lemma incl_bigcup_list_nil_P (T U : Type) (G : T -> set U) s (P : T -> Prop) : \bigcup_(x in [::] :&: P) G x \subset s.
proof: Proof. intros x Hin. inv Hin. inv H. inv H0. inv H. Qed.
imports: String micromega.Lia List Tactics TacticsUtil Instances Classes DependentClasses Sets Producer Generators EnumProofs Checker Decidability CheckerProofs mathcomp(ssreflect ssrfun ssrbool ssrnat eqtype seq) Ltac2(Ltac2)