Theorems · Definition · category theory

CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.counitIsoAux

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      (F : CategoryTheory.Mon C) →
        (((CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal C).comp
                  (CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToMon C)).obj
              F).X ≅
          ((CategoryTheory.Functor.id (CategoryTheory.Mon C)).obj F).X

Auxiliary definition for counitIso.

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

3 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory