Theorems · Definition · category theory
CategoryTheory.mopFunctor
(C : Type u₁) → [inst : CategoryTheory.Category.{v₁, u₁} C] → CategoryTheory.Functor C CᴹᵒᵖThe identity functor on C, viewed as a functor from C to its monoidal opposite.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Opposite
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 13 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
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalOppositestatement · cited by 179
- Quiver.Hom.mopproof · cited by 31
Cited by34
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalOpposite.mopEquivproof · cited by 10
- CategoryTheory.MonoidalCategory.MonoidalLeftAction.curriedActionMopproof · cited by 9
- CategoryTheory.Iso.mopproof · cited by 4
- CategoryTheory.MonoidalOpposite.tensorIsostatement · cited by 2
- CategoryTheory.MonoidalOpposite.tensorLeftIsostatement · cited by 2
- CategoryTheory.MonoidalOpposite.tensorLeftMopIsostatement · cited by 2
- CategoryTheory.MonoidalOpposite.tensorLeftUnmopIsostatement · cited by 2
- CategoryTheory.MonoidalOpposite.tensorRightIsostatement · cited by 2
- CategoryTheory.MonoidalOpposite.tensorRightMopIsostatement · cited by 2
- CategoryTheory.MonoidalOpposite.tensorRightUnmopIsostatement · cited by 2
- CategoryTheory.MonoidalOpposite.mopFunctor_μstatement · cited by 0
- CategoryTheory.MonoidalOpposite.unmopEquiv_unitIso_inv_app_unmopstatement · cited by 0