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author | desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2001-12-05 15:43:01 +0000 |
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committer | desmettr <desmettr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2001-12-05 15:43:01 +0000 |
commit | 14ab34f2e46f7f4b085932347e3f42dd9f0484e4 (patch) | |
tree | 71335f01e36c53146ff2ef7f4a3476495a54d408 /theories/Reals/Rbase.v | |
parent | e1680a9199f3da377beccb3b2b8262b7ae974b33 (diff) |
*** empty log message ***
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2272 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Reals/Rbase.v')
-rw-r--r-- | theories/Reals/Rbase.v | 27 |
1 files changed, 0 insertions, 27 deletions
diff --git a/theories/Reals/Rbase.v b/theories/Reals/Rbase.v index 45e03ca7a..482cfa0cc 100644 --- a/theories/Reals/Rbase.v +++ b/theories/Reals/Rbase.v @@ -1582,30 +1582,3 @@ end. Theorem INR_eq_INR2 : (n:nat) (INR n)==(INR2 n). Induction n; [Unfold INR INR2; Reflexivity | Intros; Unfold INR INR2; Fold INR INR2; Rewrite H; Case n0; [Reflexivity | Intros; Ring]]. Save. - -(*****************************************************) -(* Some properties of Rmin and Rmax *) -(*****************************************************) -Lemma Rmin_l : (x,y:R) ``(Rmin x y)<=x``. -Intros; Unfold Rmin; Case (total_order_Rle x y); Intro H1; [Right; Reflexivity | Auto with real]. -Save. - -Lemma Rmin_r : (x,y:R) ``(Rmin x y)<=y``. -Intros; Unfold Rmin; Case (total_order_Rle x y); Intro H1; [Assumption | Auto with real]. -Save. - -Lemma Rmin_stable_in_posreal : (x,y:posreal) ``0<(Rmin x y)``. -Intros; Apply Rmin_Rgt_r; Split; [Apply (cond_pos x) | Apply (cond_pos y)]. -Save. - -Lemma Rmax_l : (x,y:R) ``x<=(Rmax x y)``. -Intros; Unfold Rmax; Case (total_order_Rle x y); Intro H1; [Assumption | Right; Reflexivity]. -Save. - -Lemma Rmax_r : (x,y:R) ``y<=(Rmax x y)``. -Intros; Unfold Rmax; Case (total_order_Rle x y); Intro H1; [Right; Reflexivity | Auto with real]. -Save. - -Lemma Rmax_stable_in_negreal : (x,y:negreal) ``(Rmax x y)<0``. -Intros; Unfold Rmax; Case (total_order_Rle x y); Intro; [Apply (cond_neg y) | Apply (cond_neg x)]. -Save.
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