diff options
| author |  Guillaume Melquiond <guillaume.melquiond@inria.fr> | 2017-03-05 21:50:19 +0100 |
|---|---|---|
| committer |  Maxime Dénès <mail@maximedenes.fr> | 2017-03-22 17:56:02 +0100 |
| commit | 4e6fa17a3ef0b8d12cb8d55305f302338589ad1c (patch) | |
| tree | b6ed89f849f9423c9a2b3bee42bd8b9f5b176305 /theories/Reals/Rtrigo1.v | |
| parent | d6ced637d9b7acabef2ccc9e761ec149bc7c93da (diff) | |
Make IZR a morphism for field.
There are now two field structures for R: one in RealField and one in
RIneq. The first one is used to prove that IZR is a morphism which is
needed to define the second one.
Diffstat (limited to 'theories/Reals/Rtrigo1.v')
| -rw-r--r-- | theories/Reals/Rtrigo1.v | 3 |
1 files changed, 1 insertions, 2 deletions
diff --git a/theories/Reals/Rtrigo1.v b/theories/Reals/Rtrigo1.v index 48dbd1944..17b9677ef 100644 --- a/theories/Reals/Rtrigo1.v +++ b/theories/Reals/Rtrigo1.v @@ -186,7 +186,6 @@ simpl sum_f_R0. unfold cos_term, sin_term; simpl fact; rewrite !INR_IZR_INZ. simpl plus; simpl mult; simpl Z_of_nat. field_simplify. -change (8073344 / 12582912 < 18760 / 24576). match goal with |- IZR ?a / ?b < ?c / ?d => apply Rmult_lt_reg_r with d;[apply (IZR_lt 0); reflexivity | @@ -196,7 +195,7 @@ match goal with end. unfold Rdiv; rewrite !Rmult_assoc, Rinv_l, Rmult_1_r; [ | apply not_eq_sym, Rlt_not_eq, (IZR_lt 0); reflexivity]. -repeat (rewrite <- !plus_IZR || rewrite <- !mult_IZR). +rewrite <- !mult_IZR. apply IZR_lt; reflexivity. Qed. |