Goal forall (X : Type) (P Q : X->Prop),
(forall x : X, P x /\ Q x) -> (forall x : X, P x) /\ (forall x : X, Q x).
Proof.
intros X P Q H; split; intro x; apply (H x).
Qed.
3
votes
Just some hints:
I recommand you use intros to name your hypothesis, split to separate the goals,
and exact to provide the proof terms (which may involve proj1 or proj2).
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