diff options
Diffstat (limited to 'theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v')
| -rw-r--r-- | theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v b/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v index bb56e6997..e1f04e45a 100644 --- a/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v +++ b/theories/Numbers/Integer/SpecViaZ/ZSigZAxioms.v @@ -42,7 +42,7 @@ Definition NZ0 := Z.zero. Definition NZsucc := Z.succ. Definition NZpred := Z.pred. Definition NZadd := Z.add. -Definition NZminus := Z.sub. +Definition NZsub := Z.sub. Definition NZmul := Z.mul. Theorem NZeq_equiv : equiv Z.t Z.eq. @@ -71,7 +71,7 @@ Proof. intros; zsimpl; f_equal; assumption. Qed. -Add Morphism NZminus with signature Z.eq ==> Z.eq ==> Z.eq as NZminus_wd. +Add Morphism NZsub with signature Z.eq ==> Z.eq ==> Z.eq as NZsub_wd. Proof. intros; zsimpl; f_equal; assumption. Qed. @@ -154,12 +154,12 @@ Proof. intros; zsimpl; auto with zarith. Qed. -Theorem NZminus_0_r : forall n, n - 0 == n. +Theorem NZsub_0_r : forall n, n - 0 == n. Proof. intros; zsimpl; auto with zarith. Qed. -Theorem NZminus_succ_r : forall n m, n - (Z.succ m) == Z.pred (n - m). +Theorem NZsub_succ_r : forall n m, n - (Z.succ m) == Z.pred (n - m). Proof. intros; zsimpl; auto with zarith. Qed. |