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-rw-r--r--plugins/omega/PreOmega.v14
1 files changed, 12 insertions, 2 deletions
diff --git a/plugins/omega/PreOmega.v b/plugins/omega/PreOmega.v
index 08bfec84bc..7ebc2fb04f 100644
--- a/plugins/omega/PreOmega.v
+++ b/plugins/omega/PreOmega.v
@@ -16,7 +16,8 @@ Local Open Scope Z_scope.
(** This tactic uses the complete specification of [Z.div] and
[Z.modulo] to remove these functions from the goal without losing
- information. *)
+ information. The [Z.div_mod_to_quot_rem_cleanup] tactic removes
+ needless hypotheses, which makes tactics like [nia] run faster. *)
Module Z.
Lemma mod_0_r_ext x y : y = 0 -> x mod y = 0.
@@ -42,7 +43,16 @@ Module Z.
| [ H : context[?x / ?y] |- _ ] => div_mod_to_quot_rem_generalize x y
| [ H : context[?x mod ?y] |- _ ] => div_mod_to_quot_rem_generalize x y
end.
- Ltac div_mod_to_quot_rem := repeat div_mod_to_quot_rem_step.
+ Ltac div_mod_to_quot_rem' := repeat div_mod_to_quot_rem_step.
+ Ltac div_mod_to_quot_rem_cleanup :=
+ repeat match goal with
+ | [ H : ?T -> _, H' : ?T |- _ ] => specialize (H H')
+ | [ H : ?T -> _, H' : ~?T |- _ ] => clear H
+ | [ H : ~?T -> _, H' : ?T |- _ ] => clear H
+ | [ H : 0 < ?x -> _, H' : ?x < 0 |- _ ] => clear H
+ | [ H : ?x < 0 -> _, H' : 0 < ?x |- _ ] => clear H
+ end.
+ Ltac div_mod_to_quot_rem := div_mod_to_quot_rem'; div_mod_to_quot_rem_cleanup.
End Z.
(** * zify: the Z-ification tactic *)