Theorems · Definition · category theory

CategoryTheory.Bimon

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] → [CategoryTheory.BraidedCategory C] → Type (max (max u₁ v₁) v₁)

A bimonoid object in a braided category C is a comonoid object in the (monoidal) category of monoid objects in C.

Defined in

Mathlib.CategoryTheory.Monoidal.Bimon_

Cited by

37 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory