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authorfilliatr2000-03-21 18:53:42 +0000
committerfilliatr2000-03-21 18:53:42 +0000
commitb1dab9e06d9a964b1dd0d09bca797cb4a4e4b9a1 (patch)
tree1c67698f4b19b4e14774b19a375e40fd009d39a9 /theories
parent9a913a2aa1834704908ec829d5326d214fd68e88 (diff)
- bug make_module_marker (plus de # et de .obj maintenant)
- portage (partiel) de Zarith - bug discrEverywhere (manquait un "fun gls ->") git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@353 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories')
-rw-r--r--theories/Zarith/auxiliary.v1
-rw-r--r--theories/Zarith/zarith_aux.v14
2 files changed, 7 insertions, 8 deletions
diff --git a/theories/Zarith/auxiliary.v b/theories/Zarith/auxiliary.v
index 9421573bd3..647f027c0c 100644
--- a/theories/Zarith/auxiliary.v
+++ b/theories/Zarith/auxiliary.v
@@ -8,7 +8,6 @@
(* $Id$ *)
-Require Equality.
Require Export Arith.
Require fast_integer.
Require zarith_aux.
diff --git a/theories/Zarith/zarith_aux.v b/theories/Zarith/zarith_aux.v
index 516bcb02ef..8b8be64acb 100644
--- a/theories/Zarith/zarith_aux.v
+++ b/theories/Zarith/zarith_aux.v
@@ -12,7 +12,7 @@ Require Arith.
Require Export fast_integer.
Tactic Definition ElimCompare [$com1 $com2] :=
- [<:tactic:<
+ [ < : tactic : <
Elim (Dcompare (Zcompare $com1 $com2)); [
Idtac
| Intro hidden_auxiliary; Elim hidden_auxiliary;
@@ -90,7 +90,7 @@ Theorem Zgt_n_S : (n,m:Z)(Zgt m n) -> (Zgt (Zs m) (Zs n)).
Unfold Zgt; Intros n m H; Rewrite Zcompare_n_S; Auto with arith.
Save.
-Lemma Zle_not_gt : (n,m:Z)(Zle n m)->~(Zgt n m).
+Lemma Zle_not_gt : (n,m:Z)(Zle n m) -> ~(Zgt n m).
Unfold Zle Zgt; Auto with arith.
Save.
@@ -101,13 +101,13 @@ Unfold Zgt ;Intros n; Elim (Zcompare_EGAL n n); Intros H1 H2;
Rewrite H2; [ Discriminate | Trivial with arith ].
Save.
-Lemma Zgt_not_sym : (n,m:Z)(Zgt n m)->~(Zgt m n).
+Lemma Zgt_not_sym : (n,m:Z)(Zgt n m) -> ~(Zgt m n).
Unfold Zgt ;Intros n m H; Elim (Zcompare_ANTISYM n m); Intros H1 H2;
Rewrite -> H1; [ Discriminate | Assumption ].
Save.
-Lemma Zgt_not_le : (n,m:Z)(Zgt n m)->~(Zle n m).
+Lemma Zgt_not_le : (n,m:Z)(Zgt n m) -> ~(Zle n m).
Unfold Zgt Zle not; Auto with arith.
Save.
@@ -446,18 +446,18 @@ Unfold Zle Zlt ;Intros n m; ElimCompare n m; [
| Elim (Zcompare_ANTISYM n m); Auto with arith ].
Save.
-Theorem Zle_not_lt : (n,m:Z)(Zle n m)->~(Zlt m n).
+Theorem Zle_not_lt : (n,m:Z)(Zle n m) -> ~(Zlt m n).
Unfold Zle Zlt; Unfold not ;Intros n m H1 H2;Apply H1;
Elim (Zcompare_ANTISYM n m);Auto with arith.
Save.
-Theorem Zlt_not_le : (n,m:Z)(Zlt n m)->~(Zle m n).
+Theorem Zlt_not_le : (n,m:Z)(Zlt n m) -> ~(Zle m n).
Unfold Zlt Zle not ;Intros n m H1 H2; Apply H2; Elim (Zcompare_ANTISYM m n);
Auto with arith.
Save.
-Theorem Zlt_not_sym : (n,m:Z)(Zlt n m)->~(Zlt m n).
+Theorem Zlt_not_sym : (n,m:Z)(Zlt n m) -> ~(Zlt m n).
Intros n m H;Apply Zle_not_lt; Apply Zlt_le_weak; Assumption.
Save.