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| author |  desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-01-15 15:35:04 +0000 |
|---|---|---|
| committer | desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-01-15 15:35:04 +0000 |
| commit | fea0a3265a7191a7e8c13028e7edd9bf29ba4d25 (patch) | |
| tree | f0993cfb172fd6e3cd280fcebf61ac0d6dc3e71b /theories/Reals/Rtrigo_calc.v | |
| parent | d72eb6e333f710bb8f4ea0061e8399aafba19fe0 (diff) | |
Nouvelle interprétation des nombres réels
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3499 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rtrigo_calc.v')
| -rw-r--r-- | theories/Reals/Rtrigo_calc.v | 24 |
1 files changed, 8 insertions, 16 deletions
diff --git a/theories/Reals/Rtrigo_calc.v b/theories/Reals/Rtrigo_calc.v index 7054b3749..a0f7e01b2 100644 --- a/theories/Reals/Rtrigo_calc.v +++ b/theories/Reals/Rtrigo_calc.v @@ -37,11 +37,11 @@ Rewrite neg_sin; Rewrite sin_neg; Ring. Cut ``PI==PI/2+PI/2``; [Intro | Apply double_var]. Pattern 2 3 PI; Rewrite H. Pattern 2 3 PI; Rewrite H. -Unfold Rdiv; Cut ``2*2==4``. -Intro; Rewrite Rmult_Rplus_distrl. -Repeat Rewrite Rmult_assoc. -Rewrite <- Rinv_Rmult; [Rewrite H0; Ring | DiscrR | DiscrR]. +Unfold Rdiv. +Repeat Rewrite Rinv_Rmult. Ring. +DiscrR. +DiscrR. Qed. @@ -128,7 +128,7 @@ Rewrite sin_PI3_cos_PI6. Unfold Rdiv. Rewrite Rmult_1l. Rewrite Rmult_assoc. -Rewrite (Rmult_sym ``2``). +Pattern 2 ``2``; Rewrite (Rmult_sym ``2``). Rewrite Rmult_assoc. Rewrite <- Rinv_l_sym. Rewrite Rmult_1r; Reflexivity. @@ -200,7 +200,7 @@ Reflexivity. DiscrR. DiscrR. DiscrR. -Ring. +Reflexivity. Unfold Rdiv. Rewrite Rmult_1l. Repeat Rewrite <- Rmult_assoc. @@ -424,11 +424,7 @@ Symmetry; Apply Ropp_mul1. Pattern 2 PI; Rewrite double_var. Pattern 2 3 PI; Rewrite double_var. Unfold Rdiv. -Rewrite Rmult_Rplus_distrl. -Repeat Rewrite Rmult_assoc. -Rewrite <- Rinv_Rmult. -Replace ``2*2`` with ``4``. -Ring. +Repeat Rewrite Rinv_Rmult. Ring. DiscrR. DiscrR. @@ -441,11 +437,7 @@ Unfold Rdiv; Symmetry; Apply Ropp_mul1. Pattern 2 PI; Rewrite double_var. Pattern 2 3 PI; Rewrite double_var. Unfold Rdiv. -Rewrite Rmult_Rplus_distrl. -Repeat Rewrite Rmult_assoc. -Rewrite <- Rinv_Rmult. -Replace ``2*2`` with ``4``. -Ring. +Repeat Rewrite Rinv_Rmult. Ring. DiscrR. DiscrR. |