diff options
Diffstat (limited to 'theories/Reals/DiscrR.v')
| -rw-r--r-- | theories/Reals/DiscrR.v | 5 |
1 files changed, 4 insertions, 1 deletions
diff --git a/theories/Reals/DiscrR.v b/theories/Reals/DiscrR.v index 3a2d51f9..75fd4c0a 100644 --- a/theories/Reals/DiscrR.v +++ b/theories/Reals/DiscrR.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -11,16 +11,19 @@ Require Import Omega. Local Open Scope R_scope. Lemma Rlt_R0_R2 : 0 < 2. +Proof. change 2 with (INR 2); apply lt_INR_0; apply lt_O_Sn. Qed. Notation Rplus_lt_pos := Rplus_lt_0_compat (only parsing). Lemma IZR_eq : forall z1 z2:Z, z1 = z2 -> IZR z1 = IZR z2. +Proof. intros; rewrite H; reflexivity. Qed. Lemma IZR_neq : forall z1 z2:Z, z1 <> z2 -> IZR z1 <> IZR z2. +Proof. intros; red; intro; elim H; apply eq_IZR; assumption. Qed. |