Theorems · Theorem · category theory

CategoryTheory.Hom.mulEquivCongrRight_symm_apply

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {M N : C} [inst_2 : CategoryTheory.MonObj M] [inst_3 : CategoryTheory.MonObj N] (e : M ≅ N)
  [inst_4 : CategoryTheory.IsMonHom e.hom] (X : C)
  (a : ↑((CategoryTheory.yonedaMon.obj { X := N, mon := inst_3 }).obj (Opposite.op X))),
  (CategoryTheory.Hom.mulEquivCongrRight e X).symm a =
    (MonCat.Hom.hom (MonCat.ofHom (CategoryTheory.IsMonHom.monoidHom e.inv X))) a

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mon

Cited by

0 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonObjCategoryTheory.MonObjCategoryTheory.IsMonHom