Theorems · Theorem · category theory

CategoryTheory.underEquivOfIsTerminal_counitIso

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Limits.HasStrictTerminalObjects C] (X : C) (h : CategoryTheory.Limits.IsTerminal X),
  (CategoryTheory.underEquivOfIsTerminal.{w, v_1, u_1} X h).counitIso =
    CategoryTheory.Iso.refl
      ((CategoryTheory.Functor.fromPUnit (CategoryTheory.Under.mk (CategoryTheory.CategoryStruct.id X))).comp
        (CategoryTheory.Functor.star (CategoryTheory.Under X)))

Defined in

Mathlib.CategoryTheory.Comma.Over.StrictInitial

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasStrictTerminalObjects