diff options
author | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:43:16 +0100 |
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committer | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:43:16 +0100 |
commit | f219abfed720305c13875c3c63f9240cf63f78bc (patch) | |
tree | 69d2c026916128fdb50b8d1c0dbf1be451340d30 /theories/Numbers/Cyclic/Abstract/NZCyclic.v | |
parent | 476d60ef0fe0ac015c1e902204cdd7029e10ef0f (diff) | |
parent | cec4741afacd2e80894232850eaf9f9c0e45d6d7 (diff) |
Merge tag 'upstream/8.5_beta1+dfsg'
Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'theories/Numbers/Cyclic/Abstract/NZCyclic.v')
-rw-r--r-- | theories/Numbers/Cyclic/Abstract/NZCyclic.v | 8 |
1 files changed, 3 insertions, 5 deletions
diff --git a/theories/Numbers/Cyclic/Abstract/NZCyclic.v b/theories/Numbers/Cyclic/Abstract/NZCyclic.v index d9089e18..8adeda37 100644 --- a/theories/Numbers/Cyclic/Abstract/NZCyclic.v +++ b/theories/Numbers/Cyclic/Abstract/NZCyclic.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 *) @@ -106,7 +106,7 @@ Qed. Theorem one_succ : one == succ zero. Proof. -zify; simpl. now rewrite one_mod_wB. +zify; simpl Z.add. now rewrite one_mod_wB. Qed. Theorem two_succ : two == succ one. @@ -126,9 +126,7 @@ Let B (n : Z) := A (ZnZ.of_Z n). Lemma B0 : B 0. Proof. -unfold B. -setoid_replace (ZnZ.of_Z 0) with zero. assumption. -red; zify. apply ZnZ.of_Z_correct. auto using gt_wB_0 with zarith. +unfold B. apply A0. Qed. Lemma BS : forall n : Z, 0 <= n -> n < wB - 1 -> B n -> B (n + 1). |