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authorGravatar desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-01-15 15:35:04 +0000
committerGravatar desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-01-15 15:35:04 +0000
commitfea0a3265a7191a7e8c13028e7edd9bf29ba4d25 (patch)
treef0993cfb172fd6e3cd280fcebf61ac0d6dc3e71b /theories/Reals/Rtrigo_alt.v
parentd72eb6e333f710bb8f4ea0061e8399aafba19fe0 (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_alt.v')
-rw-r--r--theories/Reals/Rtrigo_alt.v4
1 files changed, 3 insertions, 1 deletions
diff --git a/theories/Reals/Rtrigo_alt.v b/theories/Reals/Rtrigo_alt.v
index 1cf745281..13ea21aa7 100644
--- a/theories/Reals/Rtrigo_alt.v
+++ b/theories/Reals/Rtrigo_alt.v
@@ -75,11 +75,12 @@ Apply Rsqr_incr_1.
Apply Rle_trans with PI; [Assumption | Apply PI_4].
Assumption.
Left; Sup0.
-Pattern 1 ``16``; Rewrite <- Rplus_Or; Replace ``20`` with ``16+4``; [Apply Rle_compatibility; Left; Sup0 | Ring].
+Rewrite <- (Rplus_Or ``16``); Replace ``20`` with ``16+4``; [Apply Rle_compatibility; Left; Sup0 | Ring].
Rewrite <- (Rplus_sym ``20``); Pattern 1 ``20``; Rewrite <- Rplus_Or; Apply Rle_compatibility.
Apply ge0_plus_ge0_is_ge0.
Repeat Apply Rmult_le_pos.
Left; Sup0.
+Left; Sup0.
Replace R0 with (INR O); [Apply le_INR; Apply le_O_n | Reflexivity].
Replace R0 with (INR O); [Apply le_INR; Apply le_O_n | Reflexivity].
Apply Rmult_le_pos.
@@ -214,6 +215,7 @@ Rewrite <- (Rplus_sym ``12``); Pattern 1 ``12``; Rewrite <- Rplus_Or; Apply Rle_
Apply ge0_plus_ge0_is_ge0.
Repeat Apply Rmult_le_pos.
Left; Sup0.
+Left; Sup0.
Replace R0 with (INR O); [Apply le_INR; Apply le_O_n | Reflexivity].
Replace R0 with (INR O); [Apply le_INR; Apply le_O_n | Reflexivity].
Apply Rmult_le_pos.