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Diffstat (limited to 'theories/Setoids')
| -rw-r--r-- | theories/Setoids/Setoid.v | 23 |
1 files changed, 23 insertions, 0 deletions
diff --git a/theories/Setoids/Setoid.v b/theories/Setoids/Setoid.v index 3bf86eb48..9496099a8 100644 --- a/theories/Setoids/Setoid.v +++ b/theories/Setoids/Setoid.v @@ -662,3 +662,26 @@ Implicit Arguments Setoid_Theory []. Implicit Arguments Seq_refl []. Implicit Arguments Seq_sym []. Implicit Arguments Seq_trans []. + + +(* Some tactics for manipulating Setoid Theory not officially + declared as Setoid. *) + +Ltac trans_st x := match goal with + | H : Setoid_Theory _ ?eqA |- ?eqA _ _ => + apply (Seq_trans _ _ H) with x; auto + end. + +Ltac sym_st := match goal with + | H : Setoid_Theory _ ?eqA |- ?eqA _ _ => + apply (Seq_sym _ _ H); auto + end. + +Ltac refl_st := match goal with + | H : Setoid_Theory _ ?eqA |- ?eqA _ _ => + apply (Seq_refl _ _ H); auto + end. + +Definition gen_st : forall A : Set, Setoid_Theory _ (@eq A). +Proof. constructor; congruence. Qed. + |