diff options
| author |  Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
|---|---|---|
| committer | Enrico Tassi <gareuselesinge@debian.org> | 2015-01-25 14:42:51 +0100 |
| commit | 7cfc4e5146be5666419451bdd516f1f3f264d24a (patch) | |
| tree | e4197645da03dc3c7cc84e434cc31d0a0cca7056 /theories/Reals/Binomial.v | |
| parent | 420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff) | |
Imported Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'theories/Reals/Binomial.v')
| -rw-r--r-- | theories/Reals/Binomial.v | 9 |
1 files changed, 4 insertions, 5 deletions
diff --git a/theories/Reals/Binomial.v b/theories/Reals/Binomial.v index 3d6121b7..d48f42fc 100644 --- a/theories/Reals/Binomial.v +++ b/theories/Reals/Binomial.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 *) @@ -172,13 +172,12 @@ Proof. apply sum_eq. intros; apply H1. unfold N; apply le_lt_trans with n; [ assumption | apply lt_n_Sn ]. - intros; unfold Bn, Cn. - replace (S N - S i)%nat with (N - i)%nat; reflexivity. + reflexivity. unfold An; fold N; rewrite <- minus_n_n; rewrite H0; simpl; ring. apply sum_eq. - intros; unfold An, Bn; replace (S N - S i)%nat with (N - i)%nat; - [ idtac | reflexivity ]. + intros; unfold An, Bn. + change (S N - S i)%nat with (N - i)%nat. rewrite <- pascal; [ ring | apply le_lt_trans with n; [ assumption | unfold N; apply lt_n_Sn ] ]. |