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authorGravatar desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-01-22 16:30:04 +0000
committerGravatar desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-01-22 16:30:04 +0000
commit096310efb4266fe89455d473f704ec6c7ed5a97c (patch)
tree17a6ed5acd135748f43ecb944e268657731a55a2 /theories/Reals/Rtrigo.v
parentcb7cf50289fbf1c5fe60fd915f63128c88dc6d68 (diff)
Renommages dans Rtrigo_def
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@3589 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rtrigo.v')
-rw-r--r--theories/Reals/Rtrigo.v8
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Reals/Rtrigo.v b/theories/Reals/Rtrigo.v
index 631757abe..8210b35f1 100644
--- a/theories/Reals/Rtrigo.v
+++ b/theories/Reals/Rtrigo.v
@@ -31,7 +31,7 @@ Qed.
(**********)
Lemma cos_minus : (x,y:R) ``(cos (x-y))==(cos x)*(cos y)+(sin x)*(sin y)``.
Intros; Unfold Rminus; Rewrite cos_plus.
-Rewrite <- cos_paire; Rewrite sin_impaire; Ring.
+Rewrite <- cos_sym; Rewrite sin_antisym; Ring.
Qed.
(**********)
@@ -94,7 +94,7 @@ Qed.
Lemma sin_minus : (x,y:R) ``(sin (x-y))==(sin x)*(cos y)-(cos x)*(sin y)``.
Intros; Unfold Rminus; Rewrite sin_plus.
-Rewrite <- cos_paire; Rewrite sin_impaire; Ring.
+Rewrite <- cos_sym; Rewrite sin_antisym; Ring.
Qed.
(**********)
@@ -151,11 +151,11 @@ Repeat Rewrite double; Intros; Repeat Rewrite double; Rewrite double in H0; Appl
Qed.
Lemma sin_neg : (x:R) ``(sin (-x))==-(sin x)``.
-Apply sin_impaire.
+Apply sin_antisym.
Qed.
Lemma cos_neg : (x:R) ``(cos (-x))==(cos x)``.
-Intro; Symmetry; Apply cos_paire.
+Intro; Symmetry; Apply cos_sym.
Qed.
Lemma tan_0 : ``(tan 0)==0``.