Theorems · Theorem · category theory

CategoryTheory.WithTerminal.equivComma_counitIso_inv_app_left_app

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
  (X : CategoryTheory.Comma (CategoryTheory.Functor.id (CategoryTheory.Functor C D)) (CategoryTheory.Functor.const C))
  (X_1 : C),
  (CategoryTheory.WithTerminal.equivComma.counitIso.inv.app X).left.app X_1 =
    CategoryTheory.CategoryStruct.id
      (match CategoryTheory.WithTerminal.incl.obj X_1 with
      | CategoryTheory.WithTerminal.of x => X.left.obj x
      | CategoryTheory.WithTerminal.star => X.right)

Defined in

Mathlib.CategoryTheory.WithTerminal.Basic

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category