diff options
Diffstat (limited to 'theories/QArith/Qcabs.v')
| -rw-r--r-- | theories/QArith/Qcabs.v | 14 |
1 files changed, 8 insertions, 6 deletions
diff --git a/theories/QArith/Qcabs.v b/theories/QArith/Qcabs.v index c0ababff..f45868a7 100644 --- a/theories/QArith/Qcabs.v +++ b/theories/QArith/Qcabs.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) *) (************************************************************************) (** * An absolute value for normalized rational numbers. *) @@ -22,7 +24,7 @@ Lemma Qcabs_canon (x : Q) : Qred x = x -> Qred (Qabs x) = Qabs x. Proof. intros H; now rewrite (Qred_abs x), H. Qed. Definition Qcabs (x:Qc) : Qc := {| canon := Qcabs_canon x (canon x) |}. -Notation "[ q ]" := (Qcabs q) (q at next level, format "[ q ]") : Qc_scope. +Notation "[ q ]" := (Qcabs q) : Qc_scope. Ltac Qc_unfolds := unfold Qcabs, Qcminus, Qcopp, Qcplus, Qcmult, Qcle, Q2Qc, this. @@ -126,4 +128,4 @@ Proof. destruct (proj1 (Qcabs_Qcle_condition x 0)) as [A B]. + rewrite H; apply Qcle_refl. + apply Qcle_antisym; auto. -Qed.
\ No newline at end of file +Qed. |