diff options
Diffstat (limited to 'theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v')
| -rw-r--r-- | theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v b/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v index bfbc063ced..5d3836eff9 100644 --- a/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v +++ b/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v @@ -93,7 +93,7 @@ replace z with (-(-z))%Z in * by (auto with zarith). remember (-z)%Z as z'. pattern z'; apply natlike_ind. apply B0. -intros; rewrite Zopp_succ; unfold Zpred; apply BP; auto. +intros; rewrite Z.opp_succ; unfold Z.pred; apply BP; auto. subst z'; auto with zarith. Qed. @@ -364,7 +364,7 @@ Program Instance mod_wd : Proper (eq==>eq==>eq) modulo. Theorem div_mod : forall a b, ~b==0 -> a == b*(div a b) + (modulo a b). Proof. -intros a b. zify. intros. apply Z_div_mod_eq_full; auto. +intros a b. zify. intros. apply Z.div_mod; auto. Qed. Theorem mod_pos_bound : |