Theorems · Theorem · category theory
CategoryTheory.leftDualFunctor_map
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.LeftRigidCategory C] {X Y : C} (f : X ⟶ Y),
(CategoryTheory.leftDualFunctor C).map f = (ᘁf).op.mop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- Quiver.Hom.opstatement · cited by 1,948
- CategoryTheory.MonoidalOppositestatement · cited by 179
- Quiver.Hom.mopstatement · cited by 31
- CategoryTheory.HasLeftDual.leftDualstatement · cited by 17
- CategoryTheory.leftAdjointMatestatement · cited by 13
- CategoryTheory.LeftRigidCategorystatement and proof · cited by 4
- CategoryTheory.leftDualFunctorstatement and proof · cited by 2
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