Theorems · Theorem · category theory

CategoryTheory.yonedaGrpObj_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] (G : C)
  [inst_2 : CategoryTheory.GrpObj G] {X Y : Cᵒᵖ} (φ : X ⟶ Y),
  (CategoryTheory.yonedaGrpObj G).map φ = GrpCat.ofHom (MonCat.Hom.hom ((CategoryTheory.yonedaMonObj G).map φ))

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Grp

Cited by

0 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.GrpObj