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(* Some tests of the SearchPattern command *)
(* Simple, random tests *)
SearchPattern bool.
SearchPattern nat.
SearchPattern le.
(* With some hypothesis *)
SearchPattern (nat -> nat).
SearchPattern (?n * ?m + ?n = ?n * S ?m).
(* Non-linearity *)
SearchPattern (_ ?X ?X).
(* Non-linearity with hypothesis *)
SearchPattern (forall (x:?A) (y:?B), _ ?A ?B).
(* No delta-reduction *)
SearchPattern (Exc _).
Definition newdef := fun x:nat => x.
Goal forall n:nat, n <> newdef n -> False.
intros n h.
SearchPattern ( _ <> newdef _). (* search hypothesis *)
SearchPattern ( n <> newdef _). (* search hypothesis *)
Abort.
Goal forall n (P:nat -> Prop), P n -> ~P n -> False.
intros n P h h'.
SearchPattern (P _). (* search hypothesis also for patterns *)
Search (~P n). (* search hypothesis also for patterns *)
Search (P _) -"h'". (* search hypothesis also for patterns *)
Search (P _) -not. (* search hypothesis also for patterns *)
Abort.
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