proposition: Lemma in_bigcup_list_tl_P (T U : Type) (h : T) (t : seq T) (G : T -> set U) (z : U) (P : T -> Prop) : (\bigcup_(x in t :&: P) G x) z -> (\bigcup_(x in (h :: t) :&: P) G x) z.
proof: Proof. intros Hin. destruct Hin. inv H. inv H0. eexists. split. split. right. eassumption. eassumption. eassumption. 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)