diff options
Diffstat (limited to 'theories/Reals/Binomial.v')
| -rw-r--r-- | theories/Reals/Binomial.v | 7 |
1 files changed, 3 insertions, 4 deletions
diff --git a/theories/Reals/Binomial.v b/theories/Reals/Binomial.v index ad076c488..16f2661fe 100644 --- a/theories/Reals/Binomial.v +++ b/theories/Reals/Binomial.v @@ -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 ] ]. |