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authorletouzey2012-07-05 16:56:16 +0000
committerletouzey2012-07-05 16:56:16 +0000
commitfc2613e871dffffa788d90044a81598f671d0a3b (patch)
treef6f308b3d6b02e1235446b2eb4a2d04b135a0462 /theories/Numbers/Integer/SpecViaZ
parentf93f073df630bb46ddd07802026c0326dc72dafd (diff)
ZArith + other : favor the use of modern names instead of compat notations
- For instance, refl_equal --> eq_refl - Npos, Zpos, Zneg now admit more uniform qualified aliases N.pos, Z.pos, Z.neg. - A new module BinInt.Pos2Z with results about injections from positive to Z - A result about Z.pow pushed in the generic layer - Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l} - Using tactic Z.le_elim instead of Zle_lt_or_eq - Some cleanup in ring, field, micromega (use of "Equivalence", "Proper" ...) - Some adaptions in QArith (for instance changed Qpower.Qpower_decomp) - In ZMake and ZMake, functor parameters are now named NN and ZZ instead of N and Z for avoiding confusions git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Numbers/Integer/SpecViaZ')
-rw-r--r--theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v4
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 :