Theorems · Theorem · category theory

CategoryTheory.ConcreteCategory.coe_id

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {FC : C → C → Type u_1} {CC : C → Type w}
  [inst_1 : (X Y : C) → FunLike (FC X Y) (CC X) (CC Y)] [inst_2 : CategoryTheory.ConcreteCategory C FC] {X : C},
  ⇑(CategoryTheory.ConcreteCategory.hom (CategoryTheory.CategoryStruct.id X)) = id

Defined in

Mathlib.CategoryTheory.ConcreteCategory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 6 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory