From 5431b0f17cd73a09472093e779cc1508b3b3ac4f Mon Sep 17 00:00:00 2001 From: Raphaël Monat Date: Wed, 25 Oct 2017 16:14:10 +0200 Subject: Moving from `is_true` to `= true` --- theories/QArith/QArith_base.v | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) (limited to 'theories/QArith') diff --git a/theories/QArith/QArith_base.v b/theories/QArith/QArith_base.v index 121527c63..66740512b 100644 --- a/theories/QArith/QArith_base.v +++ b/theories/QArith/QArith_base.v @@ -176,19 +176,19 @@ Proof. apply eq_true_iff_eq. rewrite !Qeq_bool_iff. now symmetry. Qed. -Lemma Qeq_bool_refl x: is_true (Qeq_bool x x). +Lemma Qeq_bool_refl x: Qeq_bool x x = true. Proof. - unfold is_true. rewrite Qeq_bool_iff. now reflexivity. + rewrite Qeq_bool_iff. now reflexivity. Qed. -Lemma Qeq_bool_sym x y: is_true (Qeq_bool x y) -> is_true (Qeq_bool y x). +Lemma Qeq_bool_sym x y: Qeq_bool x y = true -> Qeq_bool y x = true. Proof. - unfold is_true. rewrite !Qeq_bool_iff. now symmetry. + rewrite !Qeq_bool_iff. now symmetry. Qed. -Lemma Qeq_bool_trans x y z: is_true (Qeq_bool x y) -> is_true (Qeq_bool y z) -> is_true (Qeq_bool x z). +Lemma Qeq_bool_trans x y z: Qeq_bool x y = true -> Qeq_bool y z = true -> Qeq_bool x z = true. Proof. - unfold is_true. rewrite !Qeq_bool_iff. apply Qeq_trans. + rewrite !Qeq_bool_iff. apply Qeq_trans. Qed. Hint Resolve Qnot_eq_sym : qarith. -- cgit v1.2.3