diff options
Diffstat (limited to 'theories/ZArith')
| -rw-r--r-- | theories/ZArith/Zdiv.v | 6 |
1 files changed, 6 insertions, 0 deletions
diff --git a/theories/ZArith/Zdiv.v b/theories/ZArith/Zdiv.v index 2ba865bd0..509384104 100644 --- a/theories/ZArith/Zdiv.v +++ b/theories/ZArith/Zdiv.v @@ -508,6 +508,12 @@ Qed. (** Unfortunately, the previous result isn't always true on negative numbers. For instance: 3/(-2)/(-2) = 1 <> 0 = 3 / (-2*-2) *) +Lemma Zmod_div (a b : Z) : a mod b / b = 0. +Proof. + zero_or_not b. + auto using Z.mod_div. +Qed. + (** A last inequality: *) Theorem Zdiv_mult_le: |