diff options
Diffstat (limited to 'theories/Reals/Alembert.v')
| -rw-r--r-- | theories/Reals/Alembert.v | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/theories/Reals/Alembert.v b/theories/Reals/Alembert.v index c4416e5d8..c037fdd20 100644 --- a/theories/Reals/Alembert.v +++ b/theories/Reals/Alembert.v @@ -472,11 +472,11 @@ Proof. elim Hyp; intros; assumption. elim H3; intros; assumption. apply Rminus_eq_contra. - red; intro. - elim H3; intros. + red; intro H10. + elim H3; intros H11 H12. rewrite H10 in H12; elim (Rlt_irrefl _ H12). - red; intro. - elim H3; intros. + red; intro H10. + elim H3; intros H11 H12. rewrite H10 in H12; elim (Rlt_irrefl _ H12). replace (An (S x0)) with (An (S x0 + 0)%nat). apply (tech6 (fun i:nat => An (S x0 + i)%nat) x). @@ -485,7 +485,7 @@ Proof. elim H3; intros; assumption. intro. cut (forall n:nat, (n >= x0)%nat -> An (S n) < x * An n). - intro. + intro H9. replace (S x0 + S i)%nat with (S (S x0 + i)). apply H9. unfold ge. @@ -507,7 +507,7 @@ Proof. apply Rmult_lt_0_compat. apply H. apply Rinv_0_lt_compat; apply H. - red; intro. + red; intro H10. assert (H11 := H n). rewrite H10 in H11; elim (Rlt_irrefl _ H11). replace (S x0 + 0)%nat with (S x0); [ reflexivity | ring ]. |