Theorems · Definition · category theory
CategoryTheory.Bimon.ofMonComon
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] →
CategoryTheory.Functor (CategoryTheory.Mon (CategoryTheory.Comon C)) (CategoryTheory.Bimon C)The backward direction of Comon (Mon C) ≌ Mon (Comon C)
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimon_
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Comonstatement and proof · cited by 125
- CategoryTheory.Functor.mapMonproof · cited by 38
- CategoryTheory.Bimonstatement · cited by 37
- CategoryTheory.Comon.forgetproof · cited by 14
- CategoryTheory.Bimon.ofMonComonObjproof · cited by 5
Cited by25
Results whose statement or proof uses this declaration.
- CategoryTheory.Bimon.equivMonComonCounitIsoAppstatement · cited by 2
- CategoryTheory.Bimon.equivMonComonCounitIsoAppXstatement · cited by 2
- CategoryTheory.Bimon.equivMonComonCounitIsoAppXAuxstatement and proof · cited by 2
- CategoryTheory.Bimon.equivMonComonUnitIsoAppstatement · cited by 2
- CategoryTheory.Bimon.equivMonComonUnitIsoAppXstatement · cited by 2
- CategoryTheory.Bimon.equivMonComonUnitIsoAppXAuxstatement · cited by 2
- CategoryTheory.Bimon.ofMonComon_map_homstatement and proof · cited by 0
- CategoryTheory.Bimon.ofMonComon_objstatement and proof · cited by 0
- CategoryTheory.Bimon.ofMonComon_toMonComon_obj_comulstatement · cited by 0
- CategoryTheory.Bimon.ofMonComon_toMonComon_obj_counitstatement · cited by 0
- CategoryTheory.Bimon.toMonComon_ofMonComon_obj_onestatement · cited by 0
- CategoryTheory.Bimon.equivMonComonproof · cited by 0