Theorems · Definition · category theory
CategoryTheory.leftDualFunctor
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[CategoryTheory.LeftRigidCategory C] → CategoryTheory.Functor C CᵒᵖᴹᵒᵖThe left dual functor from C to (Cᵒᵖ)ᴹᵒᵖ.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.MonoidalOppositestatement · cited by 179
- Quiver.Hom.mopproof · cited by 31
- CategoryTheory.HasLeftDual.leftDualproof · cited by 17
- CategoryTheory.leftAdjointMateproof · cited by 13
- CategoryTheory.LeftRigidCategorystatement and proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.leftDualFunctor_mapstatement and proof · cited by 0
- CategoryTheory.leftDualFunctor_objstatement and proof · cited by 0