From cbad1f38c2269735f3100b31422c2123dd9f0e01 Mon Sep 17 00:00:00 2001 From: Robbert Krebbers Date: Fri, 26 Feb 2016 21:05:07 +0100 Subject: [PATCH] Some decidable agreement CMRA properties. --- algebra/dec_agree.v | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/algebra/dec_agree.v b/algebra/dec_agree.v index 901fe143..d8a40e16 100644 --- a/algebra/dec_agree.v +++ b/algebra/dec_agree.v @@ -49,10 +49,13 @@ Qed. Canonical Structure dec_agreeRA : cmraT := discreteRA dec_agree_ra. (* Some properties of this CMRA *) -Lemma dec_agree_idemp (x : dec_agree A) : x ⋅ x ≡ x. -Proof. destruct x; by repeat (simplify_eq/= || case_match). Qed. +Lemma dec_agree_ne a b : a ≠ b → DecAgree a ⋅ DecAgree b = DecAgreeBot. +Proof. intros. by rewrite /= decide_False. Qed. -Lemma dec_agree_op_inv (x1 x2 : dec_agree A) : ✓ (x1 ⋅ x2) → x1 ≡ x2. +Lemma dec_agree_idemp (x : dec_agree A) : x ⋅ x = x. +Proof. destruct x; by rewrite /= ?decide_True. Qed. + +Lemma dec_agree_op_inv (x1 x2 : dec_agree A) : ✓ (x1 ⋅ x2) → x1 = x2. Proof. destruct x1, x2; by repeat (simplify_eq/= || case_match). Qed. End dec_agree. -- GitLab