Theorems · Theorem · category theory

CategoryTheory.Comma.costructuredArrowSndInclusion_obj_hom

∀ {A : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} A] {B : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} B]
  {T : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} T] (L : CategoryTheory.Functor A T)
  (R : CategoryTheory.Functor B T) (b : B) (X : CategoryTheory.CostructuredArrow L (R.obj b)),
  ((CategoryTheory.Comma.costructuredArrowSndInclusion L R b).obj X).hom = CategoryTheory.CategoryStruct.id b

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category