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Theorems · Definition · category theory

CategoryTheory.Bimon.toMon

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] →
        CategoryTheory.Functor (CategoryTheory.Bimon C) (CategoryTheory.Mon C)

The forgetful functor from bimonoid objects to monoid objects.

Defined in
Mathlib.CategoryTheory.Monoidal.Bimon_
Cited by
1 results in Mathlib
Foundations
Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Bimon.forget · cited by 2Bimon.forgetCategoryTheory.Bimon.toMon_forget · cited by 0Bimon.toMon_forgetCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.Mon · cited by 465CategoryTheory.MonCategoryTheory.Bimon · cited by 37CategoryTheory.BimonCategoryTheory.Comon.forget · cited by 14Comon.forgetBimon.toMonCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.