Commit 52a3dc34 authored by Robbert Krebbers's avatar Robbert Krebbers

Prove Forall3_app.

parent dbbda8cb
......@@ -2341,6 +2341,10 @@ End Forall2_order.
Section Forall3.
Context {A B C} (P : A B C Prop).
Lemma Forall3_app l1 k1 k1' l2 k2 k2' :
Forall3 P l1 k1 k1' Forall3 P l2 k2 k2'
Forall3 P (l1 ++ l2) (k1 ++ k2) (k1' ++ k2').
Proof. induction 1; simpl; [done|constructor]; auto. Qed.
Lemma Forall3_impl (Q : A B C Prop) l l' k :
Forall3 P l l' k ( x y z, P x y z Q x y z) Forall3 Q l l' k.
Proof. intros Hl ?. induction Hl; constructor; auto. Defined.
......
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