Commit b42d1571 authored by Robbert Krebbers's avatar Robbert Krebbers

Let `iNext` detect equalities `Next x ≡ Next y`.

parent 2c4869c2
......@@ -377,6 +377,10 @@ Lemma test_iNext_quantifier {A} (Φ : A → A → PROP) :
( y, x, Φ x y) - ( y, x, Φ x y).
Proof. iIntros "H". iNext. done. Qed.
Lemma text_iNext_Next {A B : ofeT} (f : A -n> A) x y :
Next x Next y - (Next (f x) Next (f y) : PROP).
Proof. iIntros "H". iNext. by iRewrite "H". Qed.
Lemma test_iFrame_persistent (P Q : PROP) :
P - Q - <pers> (P P) (P Q Q).
Proof. iIntros "#HP". iFrame "HP". iIntros "$". Qed.
......@@ -373,6 +373,11 @@ Proof. by rewrite /FromModal. Qed.
Global Instance from_modal_laterN n P :
FromModal (modality_laterN n) (^n P) (^n P) P.
Proof. by rewrite /FromModal. Qed.
Global Instance from_modal_Next {A : ofeT} (x y : A) :
FromModal (PROP1:=PROP) (PROP2:=PROP) (modality_laterN 1)
(^1 (x y) : PROP)%I (Next x Next y) (x y).
Proof. by rewrite /FromModal /= later_equivI. Qed.
Global Instance from_modal_except_0 P : FromModal modality_id ( P) ( P) P.
Proof. by rewrite /FromModal /= -except_0_intro. Qed.
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