Theorems · Theorem · category theory
CategoryTheory.Bimon.ofMonComon_map_hom
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {X Y : CategoryTheory.Mon (CategoryTheory.Comon C)} (f : X ⟶ Y),
((CategoryTheory.Bimon.ofMonComon C).map f).hom = (CategoryTheory.Comon.forget C).mapMon.map f- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimon_
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · 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.Comon.Hom.homstatement and proof · cited by 55
- CategoryTheory.Functor.mapMonstatement · cited by 38
- CategoryTheory.Bimonstatement · cited by 37
- CategoryTheory.Bimon.ofMonComonstatement and proof · cited by 18
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