From 62b8190fd4b1c2223eb0a89329a28ca66d11a326 Mon Sep 17 00:00:00 2001 From: Hugo Herbelin Date: Fri, 17 Oct 2014 15:40:49 +0200 Subject: Revert "Essai où assert_style n'est utilisé que si pas visuellement une équation;" which was committed by mistake. MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit This reverts commit a53b44aa042cfded28c34205074f194de7e2e4ee. --- theories/ZArith/Zcomplements.v | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) (limited to 'theories/ZArith') diff --git a/theories/ZArith/Zcomplements.v b/theories/ZArith/Zcomplements.v index be975e882..99b631905 100644 --- a/theories/ZArith/Zcomplements.v +++ b/theories/ZArith/Zcomplements.v @@ -54,17 +54,17 @@ Theorem Z_lt_abs_rec : Proof. intros P HP p. set (Q := fun z => 0 <= z -> P z * P (- z)). - enough (H:Q (Z.abs p)) by admit. -(* (destruct (Zabs_dec p) as [-> | ->]; elim H; auto with zarith).*) + enough (H:Q (Z.abs p)) by + (destruct (Zabs_dec p) as [-> | ->]; elim H; auto with zarith). apply (Z_lt_rec Q); auto with zarith. subst Q; intros x H. split; apply HP. - rewrite Z.abs_eq; auto; intros. destruct (H (Z.abs m)); auto with zarith. - (* destruct (Zabs_dec m) as [-> | ->]; trivial. *) admit. + destruct (Zabs_dec m) as [-> | ->]; trivial. - rewrite Z.abs_neq, Z.opp_involutive; auto with zarith; intros. destruct (H (Z.abs m)); auto with zarith. - destruct (Zabs_dec m) as [-> | ->]; trivial; admit. + destruct (Zabs_dec m) as [-> | ->]; trivial. Qed. Theorem Z_lt_abs_induction : @@ -74,8 +74,8 @@ Theorem Z_lt_abs_induction : Proof. intros P HP p. set (Q := fun z => 0 <= z -> P z /\ P (- z)) in *. - enough (Q (Z.abs p)) by admit. -(* (destruct (Zabs_dec p) as [-> | ->]; elim H; auto with zarith).*) + enough (Q (Z.abs p)) by + (destruct (Zabs_dec p) as [-> | ->]; elim H; auto with zarith). apply (Z_lt_induction Q); auto with zarith. subst Q; intros. split; apply HP. @@ -84,7 +84,7 @@ Proof. elim (Zabs_dec m); intro eq; rewrite eq; trivial. - rewrite Z.abs_neq, Z.opp_involutive; auto with zarith; intros. destruct (H (Z.abs m)); auto with zarith. - destruct (Zabs_dec m) as [-> | ->]; trivial; admit. + destruct (Zabs_dec m) as [-> | ->]; trivial. Qed. (** To do case analysis over the sign of [z] *) -- cgit v1.2.3