Theorems · Definition · category theory
CategoryTheory.FunctorToTypes.adj
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
(F : CategoryTheory.Functor C (Type (max w v u))) →
CategoryTheory.MonoidalCategory.tensorLeft F ⊣ CategoryTheory.FunctorToTypes.rightAdj FThe adjunction tensorLeft F ⊣ rightAdj F.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
- CategoryTheory.Adjunctionstatement · cited by 524
- CategoryTheory.MonoidalCategory.tensorLeftstatement and proof · cited by 170
- Equiv.invFunproof · cited by 163
- CategoryTheory.FunctorToTypes.rightAdjstatement and proof · cited by 3
- CategoryTheory.FunctorToTypes.functorHomEquivproof · cited by 2
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