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| -rw-r--r-- | theories/ZArith/Zdiv.v | 5 |
1 files changed, 5 insertions, 0 deletions
diff --git a/theories/ZArith/Zdiv.v b/theories/ZArith/Zdiv.v index 85d2b06f68..de3b76e95d 100644 --- a/theories/ZArith/Zdiv.v +++ b/theories/ZArith/Zdiv.v @@ -1033,6 +1033,11 @@ Proof. intros; apply Z_div_same_full; auto with zarith. Qed. +Lemma Z_div_plus : forall a b c:Z, c > 0 -> (a + b * c) / c = a / c + b. +Proof. + intros; apply Z_div_plus_full; auto with zarith. +Qed. + Lemma Z_div_mult : forall a b:Z, b > 0 -> (a*b)/b = a. Proof. intros; apply Z_div_mult_full; auto with zarith. |