diff options
| author |  herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-06-13 09:29:56 +0000 |
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| committer | herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2003-06-13 09:29:56 +0000 |
| commit | fa0e44d143e0170958b834d669f75c2fb5b65c4c (patch) | |
| tree | 507814b67788f8964051de33a9bc8aba70ac8a76 /theories/ZArith | |
| parent | a50ea4f8a88a438f38b41e744d00a5ee87b95793 (diff) | |
Deplacement d'un lemme sur nat de ZArith vers Arith
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@4146 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/ZArith')
| -rw-r--r-- | theories/ZArith/fast_integer.v | 11 |
1 files changed, 0 insertions, 11 deletions
diff --git a/theories/ZArith/fast_integer.v b/theories/ZArith/fast_integer.v index cb33104e4..4026ba222 100644 --- a/theories/ZArith/fast_integer.v +++ b/theories/ZArith/fast_integer.v @@ -1095,17 +1095,6 @@ Do 2 Rewrite convert_add; Do 2 Rewrite times_convert; Do 3 Rewrite (mult_sym (convert x)); Apply mult_plus_distr. Qed. -Theorem lt_mult_left : - (x,y,z:nat) (lt x y) -> (lt (mult (S z) x) (mult (S z) y)). -Proof. -Intros x y z H;Elim z; [ - Simpl; Do 2 Rewrite <- plus_n_O; Assumption -| Simpl; Intros n H1; Apply lt_trans with m:=(plus y (plus x (mult n x))); [ - Rewrite (plus_sym x (plus x (mult n x))); - Rewrite (plus_sym y (plus x (mult n x))); Apply lt_reg_l; Assumption - | Apply lt_reg_l;Assumption ]]. -Qed. - Theorem times_true_sub_distr: (x,y,z:positive) (compare y z EGAL) = SUPERIEUR -> (times x (true_sub y z)) = (true_sub (times x y) (times x z)). |