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-rw-r--r--theories/Reals/DiscrR.v24
1 files changed, 6 insertions, 18 deletions
diff --git a/theories/Reals/DiscrR.v b/theories/Reals/DiscrR.v
index 4e2a7c3c..f3bc2f22 100644
--- a/theories/Reals/DiscrR.v
+++ b/theories/Reals/DiscrR.v
@@ -1,9 +1,11 @@
(************************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <O___,, * (see CREDITS file for the list of authors) *)
(* \VV/ **************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
Require Import RIneq.
@@ -22,18 +24,10 @@ 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.
-
Ltac discrR :=
try
match goal with
| |- (?X1 <> ?X2) =>
- change 2 with (IZR 2);
- change 1 with (IZR 1);
- change 0 with (IZR 0);
repeat
rewrite <- plus_IZR ||
rewrite <- mult_IZR ||
@@ -52,9 +46,6 @@ Ltac prove_sup0 :=
end.
Ltac omega_sup :=
- change 2 with (IZR 2);
- change 1 with (IZR 1);
- change 0 with (IZR 0);
repeat
rewrite <- plus_IZR ||
rewrite <- mult_IZR || rewrite <- Ropp_Ropp_IZR || rewrite Z_R_minus;
@@ -72,9 +63,6 @@ Ltac prove_sup :=
end.
Ltac Rcompute :=
- change 2 with (IZR 2);
- change 1 with (IZR 1);
- change 0 with (IZR 0);
repeat
rewrite <- plus_IZR ||
rewrite <- mult_IZR || rewrite <- Ropp_Ropp_IZR || rewrite Z_R_minus;