Theorems · Theorem · category theory

CategoryTheory.yonedaAddGrpObjIsoOfRepresentableBy_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] (X : C)
  (F : CategoryTheory.Functor Cᵒᵖ AddGrpCat) (α : (F.comp (CategoryTheory.forget AddGrpCat)).RepresentableBy X),
  (CategoryTheory.yonedaAddGrpObjIsoOfRepresentableBy X F α).inv =
    { app := fun X_1 => AddGrpCat.ofHom ↑{ toEquiv := α.homEquiv.symm, map_add' := ⋯ }, naturality := ⋯ }

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Grp

Cited by

0 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory