Theorems · Definition · category theory
CategoryTheory.MonoidalCategory.tensor
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.MonoidalCategory C] → CategoryTheory.Functor (C × C) CThe tensor product expressed as a functor.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 91 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorHomproof · cited by 587
Cited by134
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.DayConvolution.unitstatement · cited by 60
- CategoryTheory.MonoidalCategory.DayConvolution.unit_app_map_app_assocstatement · cited by 12
- CategoryTheory.MonoidalCategory.DayConvolution.associatorstatement and proof · cited by 11
- CategoryTheory.MonoidalCategory.DayConvolution.corepresentableBystatement · cited by 10
- CategoryTheory.MonoidalCategory.DayConvolution.unit_app_map_appstatement · cited by 6
- CategoryTheory.MonoidalCategory.DayFunctor.ηstatement and proof · cited by 6
- CategoryTheory.MonoidalCategory.DayConvolution.corepresentableBy₂'statement and proof · cited by 5
- CategoryTheory.MonoidalCategory.DayConvolution.unit_app_braiding_hom_appstatement · cited by 5
- CategoryTheory.MonoidalCategory.DayConvolution.unit_app_braiding_hom_app_assocstatement · cited by 5
- CategoryTheory.MonoidalCategory.DayConvolution.associatorCorepresentingIsostatement and proof · cited by 4
- CategoryTheory.MonoidalCategory.DayConvolution.associator_hom_unit_unitstatement and proof · cited by 4