Commit 7293e063 authored by Robbert Krebbers's avatar Robbert Krebbers

Prove always_if_pure.

parent 648f146d
......@@ -1081,6 +1081,9 @@ Lemma always_if_elim p P : □?p P ⊢ P.
Proof. destruct p; simpl; auto using always_elim. Qed.
Lemma always_elim_if p P : P ?p P.
Proof. destruct p; simpl; auto using always_elim. Qed.
Lemma always_if_pure p φ : ?p φ φ.
Proof. destruct p; simpl; auto using always_pure. Qed.
Lemma always_if_and p P Q : ?p (P Q) ?p P ?p Q.
Proof. destruct p; simpl; auto using always_and. Qed.
Lemma always_if_or p P Q : ?p (P Q) ?p P ?p Q.
......
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