Theorems · Definition · category theory
CategoryTheory.Bimon.toComon
(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.Comon C)The forgetful functor from bimonoid objects to comonoid objects.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimon_
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Comonstatement · cited by 125
- CategoryTheory.Bimonstatement · cited by 37
- CategoryTheory.Mon.forgetproof · cited by 33
- CategoryTheory.Functor.mapComonproof · cited by 4
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.Bimon.toMonComonproof · cited by 18
- CategoryTheory.Bimon.toMonComonObjproof · cited by 5
- CategoryTheory.Bimon.BimonObjAux_comulstatement · cited by 0
- CategoryTheory.Bimon.BimonObjAux_counitstatement · cited by 0
- CategoryTheory.Bimon.toMonComonObj_Xstatement · cited by 0
- CategoryTheory.Bimon.toMonComonObj_mon_mul_homstatement · cited by 0
- CategoryTheory.Bimon.toMonComonObj_mon_one_homstatement · cited by 0
- CategoryTheory.Bimon.toMonComon_map_homstatement · cited by 0
- CategoryTheory.Bimon.toComon_forgetstatement · cited by 0
- CategoryTheory.Bimon.toComon_map_homstatement and proof · cited by 0
- CategoryTheory.Bimon.toComon_obj_Xstatement and proof · cited by 0
- CategoryTheory.Bimon.toComon_obj_comon_comulstatement · cited by 0