Theorems · Theorem · category theory

CategoryTheory.ConcreteCategory.id_apply

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

Defined in

Mathlib.CategoryTheory.ConcreteCategory.Basic

Cited by

4 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.ConcreteCategory