Theorems · Definition · category theory

CategoryTheory.yonedaGrpObj

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      (G : C) → [CategoryTheory.GrpObj G] → CategoryTheory.Functor Cᵒᵖ GrpCat

If G is a group object, then Hom(-, G) is a presheaf of groups.

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Grp

Cited by

9 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.GrpObj