diff options
Diffstat (limited to 'test-suite/success/apply.v')
-rw-r--r-- | test-suite/success/apply.v | 24 |
1 files changed, 12 insertions, 12 deletions
diff --git a/test-suite/success/apply.v b/test-suite/success/apply.v index f95352b65..8014f73fc 100644 --- a/test-suite/success/apply.v +++ b/test-suite/success/apply.v @@ -135,7 +135,7 @@ Qed. Definition apply (f:nat->Prop) := forall x, f x. Goal apply (fun n => n=0) -> 1=0. intro H. -auto. +auto. Qed. (* The following fails if the coercion Zpos is not introduced around p @@ -157,10 +157,10 @@ Qed. Definition succ x := S x. Goal forall (I : nat -> Set) (P : nat -> Prop) (Q : forall n:nat, I n -> Prop), - (forall x y, P x -> Q x y) -> + (forall x y, P x -> Q x y) -> (forall x, P (S x)) -> forall y: I (S 0), Q (succ 0) y. intros. -apply H with (y:=y). +apply H with (y:=y). (* [x] had two possible instances: [S 0], coming from unifying the type of [y] with [I ?n] and [succ 0] coming from the unification with the goal; only the first one allows to make the next apply (which @@ -171,14 +171,14 @@ Qed. (* A similar example with a arbitrary long conversion between the two possible instances *) -Fixpoint compute_succ x := +Fixpoint compute_succ x := match x with O => S 0 | S n => S (compute_succ n) end. Goal forall (I : nat -> Set) (P : nat -> Prop) (Q : forall n:nat, I n -> Prop), - (forall x y, P x -> Q x y) -> + (forall x y, P x -> Q x y) -> (forall x, P (S x)) -> forall y: I (S 100), Q (compute_succ 100) y. intros. -apply H with (y:=y). +apply H with (y:=y). apply H0. Qed. @@ -187,10 +187,10 @@ Qed. subgoal which precisely fails) *) Definition ID (A:Type) := A. -Goal forall f:Type -> Type, - forall (P : forall A:Type, A -> Prop), - (forall (B:Type) x, P (f B) x -> P (f B) x) -> - (forall (A:Type) x, P (f (f A)) x) -> +Goal forall f:Type -> Type, + forall (P : forall A:Type, A -> Prop), + (forall (B:Type) x, P (f B) x -> P (f B) x) -> + (forall (A:Type) x, P (f (f A)) x) -> forall (A:Type) (x:f (f A)), P (f (ID (f A))) x. intros. apply H. @@ -250,7 +250,7 @@ Lemma eta : forall f : (forall P, P 1), (forall P, f P = f P) -> forall Q, f (fun x => Q x) = f (fun x => Q x). intros. -apply H. +apply H. Qed. (* Test propagation of evars from subgoal to brother subgoals *) @@ -258,7 +258,7 @@ Qed. (* This works because unfold calls clos_norm_flags which calls nf_evar *) Lemma eapply_evar_unfold : let x:=O in O=x -> 0=O. -intros x H; eapply trans_equal; +intros x H; eapply trans_equal; [apply H | unfold x;match goal with |- ?x = ?x => reflexivity end]. Qed. |