Theorems · Definition · category theory

CategoryTheory.GrpObj.conj

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      (G : C) → [CategoryTheory.GrpObj G] → CategoryTheory.MonoidalCategoryStruct.tensorObj G G ⟶ G

Conjugation in G as a morphism. This is the map (x, y) ↦ x * y * x⁻¹, see CategoryTheory.GrpObj.lift_conj_eq_mul_mul_inv.

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Grp

Cited by

7 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.GrpObj