Theorems · Theorem · category theory
CategoryTheory.Comon.ComonToMonOpOp_map
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
{X Y : CategoryTheory.Comon C} (f : X ⟶ Y),
(CategoryTheory.Comon.ComonToMonOpOp C).map f = Opposite.op { hom := f.hom.op, isMonHom_hom := ⋯ }- 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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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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.opstatement · cited by 1,948
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Comonstatement and proof · cited by 125
- CategoryTheory.Comon.Xstatement · cited by 105
- CategoryTheory.Comon.Hom.homstatement · cited by 55
- CategoryTheory.Comon.ComonToMonOpOpObjstatement · cited by 11
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