lean2/tests/lean/run/impbug4.lean

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prelude
-- category
definition Prop := Type.{0}
constant eq {A : Type} : A → A → Prop
infix `=`:50 := eq
constant ob : Type.{1}
constant mor : ob → ob → Type.{1}
inductive category : Type :=
mk : Π (id : Π (A : ob), mor A A),
(Π (A B : ob) (f : mor A A), id A = f) → category
definition id (Cat : category) := category.rec (λ id idl, id) Cat
constant Cat : category
set_option unifier.computation true
print "-----------------"
theorem id_left (A : ob) (f : mor A A) : @eq (mor A A) (id Cat A) f :=
@category.rec
(λ (C : category), Π (A B : ob) (f : mor A A), @eq (mor A A) (id C A) f)
(λ id idl, idl)
Cat A A f