lean2/tests/lean/run/sigma_match.lean

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open sigma
constant hom.{l₁ l₂} {A : Type.{l₁}} {B : Type.{l₂}} (a : A) (b : B) : Type.{max l₁ l₂}
definition arrow_ob [reducible] (A B : Type) : Type :=
Σ (a : A) (b : B), hom a b
definition src1 {A B : Type} (x : arrow_ob A B) : A :=
match x with
⟨a, b, h⟩ := a
end
definition src2 {A B : Type} : arrow_ob A B → A,
src2 ⟨a, _, _⟩ := a
definition src3 {A B : Type} (x : arrow_ob A B) : A :=
match x with
⟨a, _, _⟩ := a
end
example (A B : Type) (x : arrow_ob A B) : src1 x = src2 x :=
rfl
example (A B : Type) (x : arrow_ob A B) : src1 x = src3 x :=
rfl
example (A B : Type) (x : arrow_ob A B) : src2 x = src3 x :=
rfl