Theorems · Theorem · category theory

CategoryTheory.yonedaCommGrpGrp_map_app

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] {X₁ X₂ : CategoryTheory.CommGrp C} (ψ : X₁ ⟶ X₂)
  (Y : (CategoryTheory.Grp C)ᵒᵖ),
  (CategoryTheory.yonedaCommGrpGrp.map ψ).app Y =
    CommGrpCat.ofHom { toFun := fun x => CategoryTheory.CategoryStruct.comp x ψ.hom, map_one' := ⋯, map_mul' := ⋯ }

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.CommGrp_

Cited by

0 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategory