Theorems · Definition · category theory
Quiver.Hom.unmop
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → {X Y : Cᴹᵒᵖ} → (X ⟶ Y) → (X.unmop ⟶ Y.unmop)We can think of a morphism f : mop X ⟶ mop Y as a morphism X ⟶ Y.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Opposite
- Cited by
- 40 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.MonoidalOppositestatement and proof · cited by 179
- CategoryTheory.MonoidalOpposite.unmopstatement and proof · cited by 108
Cited by42
Results whose statement or proof uses this declaration.
- CategoryTheory.unmopFunctorproof · cited by 24
- MonObj.mopEquivproof · cited by 14
- Quiver.Hom.unmop_injstatement and proof · cited by 1
- CategoryTheory.MonoidalOpposite.unmop_hom_braidingstatement · cited by 0
- CategoryTheory.MonoidalOpposite.unmop_inv_braidingstatement · cited by 0
- CategoryTheory.MonoidalCategory.MonoidalLeftAction.monoidalOppositeLeftAction_actionHomstatement · cited by 0
- CategoryTheory.unmopFunctor_mapstatement · cited by 0
- CategoryTheory.unmop_compstatement · cited by 0
- CategoryTheory.unmop_hom_associatorstatement · cited by 0
- CategoryTheory.unmop_hom_leftUnitorstatement · cited by 0
- CategoryTheory.unmop_hom_rightUnitorstatement · cited by 0