Theorems · Definition · category theory
CategoryTheory.Bimon.equivMonComonCounitIsoAppXAux
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] →
(M : CategoryTheory.Mon (CategoryTheory.Comon C)) →
(((CategoryTheory.Bimon.ofMonComon C).comp (CategoryTheory.Bimon.toMonComon C)).obj M).X.X ≅ M.X.XAuxiliary definition for equivMonComonCounitIsoApp.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimon_
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xstatement and proof · cited by 329
- CategoryTheory.Comonstatement and proof · cited by 125
- CategoryTheory.Comon.Xstatement and proof · cited by 105
- CategoryTheory.Bimonstatement · cited by 37
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Bimon.equivMonComonCounitIsoAppXproof · cited by 2
- CategoryTheory.Bimon.equivMonComonCounitIsoAppXAux_homstatement and proof · cited by 0
- CategoryTheory.Bimon.equivMonComonCounitIsoAppXAux_invstatement and proof · cited by 0