lean4-htt/tests/lean/run/specialize1.lean
2021-09-08 08:00:02 -07:00

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example (x y z : Prop) (f : x → y → z) (xp : x) (yp : y) : z := by
specialize f xp yp
assumption
example (B C : Prop) (f : forall (A : Prop), A → C) (x : B) : C := by
specialize f _ x
exact f
example (B C : Prop) (f : forall {A : Prop}, A → C) (x : B) : C := by
specialize f x
exact f
example (B C : Prop) (f : forall {A : Prop}, A → C) (x : B) : C := by
specialize @f _ x
exact f
example (X : Type) [Add X] (f : forall {A : Type} [Add A], A → A → A) (x : X) : X := by
specialize f x x
assumption
def ex (f : Nat → Nat → Nat) : Nat := by
specialize f _ _
exact f
exact 10
exact 2
example : ex (. - .) = 8 :=
rfl