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authorGravatar emakarov <emakarov@85f007b7-540e-0410-9357-904b9bb8a0f7>2007-09-20 18:24:50 +0000
committerGravatar emakarov <emakarov@85f007b7-540e-0410-9357-904b9bb8a0f7>2007-09-20 18:24:50 +0000
commitd8a2c246510af26104fb16fb8ac7c266341c2f8b (patch)
tree09cfed2be0d53047820e8f0a32eab5478229464e /contrib/setoid_ring
parentb42da20a5b89a266b1a3964819d03b5ef7214688 (diff)
Changed the definition of Nminus in BinNat.v by removing comparison.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10130 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'contrib/setoid_ring')
-rw-r--r--contrib/setoid_ring/Ring_zdiv.v7
1 files changed, 3 insertions, 4 deletions
diff --git a/contrib/setoid_ring/Ring_zdiv.v b/contrib/setoid_ring/Ring_zdiv.v
index 9b102c28c..44874e547 100644
--- a/contrib/setoid_ring/Ring_zdiv.v
+++ b/contrib/setoid_ring/Ring_zdiv.v
@@ -40,10 +40,9 @@ destruct a; intros; simpl; auto.
rewrite (Pcompare_Eq_eq _ _ H).
assert (HH: forall p, Pminus p p = xH).
intro p0; unfold Pminus; rewrite Pminus_mask_diag; auto.
- simpl; auto.
- generalize (Pplus_minus _ _ H).
- case (p - b)%positive; intros; subst;
- unfold Nplus; rewrite Pplus_comm; trivial.
+ apply Pcompare_Eq_eq in H. now rewrite Pminus_mask_diag.
+ pose proof (Pminus_mask_Gt p b H) as H1. destruct H1 as [d [H2 [H3 _]]].
+ rewrite H2. rewrite <- H3. unfold Nplus. now rewrite Pplus_comm.
Qed.
Theorem Z_of_N_plus: