Expérimentation de NewDestruct et parfois NewInduction

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1880 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 7 insertions, 7 deletions

diff --git a/theories/Arith/Compare_dec.v b/theories/Arith/Compare_dec.v
index 1397326b2..531e0a975 100755
--- a/theories/Arith/Compare_dec.v
+++ b/theories/Arith/Compare_dec.v
@@ -14,14 +14,14 @@ Require Gt.
 Require Decidable.
 
 Theorem zerop : (n:nat){n=O}+{lt O n}.
-Destruct n; Auto with arith.
+NewDestruct n; Auto with arith.
 Save.
 
 Theorem lt_eq_lt_dec : (n,m:nat){(lt n m)}+{n=m}+{(lt m n)}.
 Proof.
-Induction n; Induction m; Auto with arith.
-Intros q H'; Elim (H q).
-Induction 1; Auto with arith.
+NewInduction n; NewInduction m; Auto with arith.
+Elim (IHn m).
+NewInduction 1; Auto with arith.
 Auto with arith.
 Qed.
 
@@ -30,11 +30,11 @@ Proof lt_eq_lt_dec.
 
 Lemma le_lt_dec : (n,m:nat) {le n m} + {lt m n}.
 Proof.
-Induction n.
+NewInduction n.
 Auto with arith.
-Induction m.
+NewInduction m.
 Auto with arith.
-Intros q H'; Elim (H q); Auto with arith.
+Elim (IHn m); Auto with arith.
 Qed.
 
 Lemma le_le_S_dec : (n,m:nat) {le n m} + {le (S m) n}.