Theorems · Theorem · category theory
CategoryTheory.Comon.MonOpOpToComon_map_hom
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
{X Y : (CategoryTheory.Mon Cᵒᵖ)ᵒᵖ} (f : X ⟶ Y), ((CategoryTheory.Comon.MonOpOpToComon C).map f).hom = f.unop.hom.unop- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 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.mapstatement and proof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.Mon.Hom.homstatement · cited by 200
- CategoryTheory.Comonstatement · cited by 125
- CategoryTheory.Comon.Hom.homstatement and proof · cited by 55
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