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| author |  Guillaume Melquiond <guillaume.melquiond@inria.fr> | 2017-04-02 10:30:59 +0200 |
|---|---|---|
| committer | Guillaume Melquiond <guillaume.melquiond@inria.fr> | 2017-04-02 10:33:44 +0200 |
| commit | 58bc387700d1fe4856571e8fae5c1761f89adc38 (patch) | |
| tree | e0cf041a35ccbf5315d900e3bf05024bb38c8c96 /theories/Reals/Cos_plus.v | |
| parent | 05421cef04206a18cb30f6d115d27e7cb25ba0bf (diff) | |
Simplify some proofs.
This commit does not modify the signature of the involved modules, only
the opaque proof terms.
One has to wonder how proofs can bitrot so much that several occurrences
of "replace 4 with 4" start appearing.
Diffstat (limited to 'theories/Reals/Cos_plus.v')
| -rw-r--r-- | theories/Reals/Cos_plus.v | 8 |
1 files changed, 2 insertions, 6 deletions
diff --git a/theories/Reals/Cos_plus.v b/theories/Reals/Cos_plus.v index b14d807d2..eb4a3b804 100644 --- a/theories/Reals/Cos_plus.v +++ b/theories/Reals/Cos_plus.v @@ -289,11 +289,9 @@ Proof. apply INR_fact_lt_0. rewrite <- Rinv_r_sym. rewrite Rmult_1_r. - replace 1 with (INR 1). - apply le_INR. + apply (le_INR 1). apply lt_le_S. apply INR_lt; apply INR_fact_lt_0. - reflexivity. apply INR_fact_neq_0. apply Rmult_le_reg_l with (INR (fact (S (N + n)))). apply INR_fact_lt_0. @@ -576,11 +574,9 @@ Proof. apply INR_fact_lt_0. rewrite <- Rinv_r_sym. rewrite Rmult_1_r. - replace 1 with (INR 1). - apply le_INR. + apply (le_INR 1). apply lt_le_S. apply INR_lt; apply INR_fact_lt_0. - reflexivity. apply INR_fact_neq_0. apply Rmult_le_reg_l with (INR (fact (S (S (N + n))))). apply INR_fact_lt_0. |