definition id [reducible] [unfold_full] : Π {A : Type}, A → A :=
λ A a, a

definition category.id [reducible] [unfold 1] : Π {ob : Type} [C : precategory ob] {a : ob}, hom a a :=
ID
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definition id [reducible] [unfold_full] : Π {A : Type}, A → A
λ A a, a

definition category.id [reducible] [unfold 1] : Π {ob : Type} [C : precategory ob] {a : ob}, hom a a
ID