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

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