diff options
author | Benjamin Barenblat <bbaren@debian.org> | 2018-12-29 14:31:27 -0500 |
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committer | Benjamin Barenblat <bbaren@debian.org> | 2018-12-29 14:31:27 -0500 |
commit | 9043add656177eeac1491a73d2f3ab92bec0013c (patch) | |
tree | 2b0092c84bfbf718eca10c81f60b2640dc8cab05 /theories/QArith/Qpower.v | |
parent | a4c7f8bd98be2a200489325ff7c5061cf80ab4f3 (diff) |
Imported Upstream version 8.8.2upstream/8.8.2
Diffstat (limited to 'theories/QArith/Qpower.v')
-rw-r--r-- | theories/QArith/Qpower.v | 14 |
1 files changed, 8 insertions, 6 deletions
diff --git a/theories/QArith/Qpower.v b/theories/QArith/Qpower.v index af89d300..01078220 100644 --- a/theories/QArith/Qpower.v +++ b/theories/QArith/Qpower.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 Zpow_facts Qfield Qreduction. @@ -88,7 +90,7 @@ rewrite Qinv_power. reflexivity. Qed. -Lemma Qinv_power_n : forall n p, (1#p)^n == /(inject_Z ('p))^n. +Lemma Qinv_power_n : forall n p, (1#p)^n == /(inject_Z (Zpos p))^n. Proof. intros n p. rewrite Qmake_Qdiv. @@ -188,7 +190,7 @@ unfold Z.succ. rewrite Zpower_exp; auto with *; try discriminate. rewrite Qpower_plus' by discriminate. rewrite <- IHn by discriminate. -replace (a^'n*a^1)%Z with (a^'n*a)%Z by ring. +replace (a^Zpos n*a^1)%Z with (a^Zpos n*a)%Z by ring. ring_simplify. reflexivity. Qed. |