Theorems · Definition · category theory
CategoryTheory.Bimon.ofMonComonObj
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.Mon (CategoryTheory.Comon C) → CategoryTheory.Bimon CThe object level part of the backward direction of Comon (Mon C) ≌ Mon (Comon C)
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimon_
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.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.Bimonstatement · cited by 37
- CategoryTheory.Bimon.ofMonComonObjXproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Bimon.ofMonComonproof · cited by 18
- CategoryTheory.Bimon.ofMonComonObj_Xstatement and proof · cited by 0
- CategoryTheory.Bimon.ofMonComonObj_comon_comul_homstatement · cited by 0
- CategoryTheory.Bimon.ofMonComonObj_comon_counit_homstatement · cited by 0
- CategoryTheory.Bimon.ofMonComon_map_homstatement · cited by 0
- CategoryTheory.Bimon.ofMonComon_objstatement · cited by 0