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authorGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-09-28 16:37:51 +0000
committerGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-09-28 16:37:51 +0000
commitd20594e78dd86d588f37dd2e0db58ec74d8fb382 (patch)
tree1d35bd98a75af3eabfe6729f31358fd8abf0f89f /theories/Arith
parent8e6d56704b9fd21a286d87c7e2871b052a15a98f (diff)
une induction de moins dans lt_eq_lt_dec
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4495 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Arith')
-rwxr-xr-xtheories/Arith/Compare_dec.v5
1 files changed, 2 insertions, 3 deletions
diff --git a/theories/Arith/Compare_dec.v b/theories/Arith/Compare_dec.v
index 1518727e4..a7cb9bd92 100755
--- a/theories/Arith/Compare_dec.v
+++ b/theories/Arith/Compare_dec.v
@@ -24,10 +24,9 @@ Defined.
Definition lt_eq_lt_dec : (n,m:nat){(lt n m)}+{n=m}+{(lt m n)}.
Proof.
-NewInduction n; NewInduction m; Auto with arith.
-Elim (IHn m).
+NewInduction n; Destruct m; Auto with arith.
+Intros m0; Elim (IHn m0); Auto with arith.
NewInduction 1; Auto with arith.
-Auto with arith.
Defined.
Lemma gt_eq_gt_dec : (n,m:nat)({(gt m n)}+{n=m})+{(gt n m)}.