Theorems · Theorem · category theory

CategoryTheory.yonedaMonObjIsoOfRepresentableBy_inv_app_hom_apply

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  (X : C) (F : CategoryTheory.Functor Cᵒᵖ MonCat) (α : (F.comp (CategoryTheory.forget MonCat)).RepresentableBy X)
  (X_1 : Cᵒᵖ) (a : ↑(F.1 X_1)),
  (MonCat.Hom.hom ((CategoryTheory.yonedaMonObjIsoOfRepresentableBy X F α).inv.app X_1)) a = α.homEquiv'.symm a

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mon

Cited by

0 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory