Theorems · Definition · category theory
CategoryTheory.MonoidalCategory.DayConvolution.convolution
{C : Type u₁} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{V : Type u₂} →
{inst_1 : CategoryTheory.Category.{v₂, u₂} V} →
{inst_2 : CategoryTheory.MonoidalCategory C} →
{inst_3 : CategoryTheory.MonoidalCategory V} →
(F G : CategoryTheory.Functor C V) →
[self : CategoryTheory.MonoidalCategory.DayConvolution F G] → CategoryTheory.Functor C VThe chosen convolution between the functors. Denoted F ⊛ G.
- Cited by
- 67 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
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 and proof · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategory.DayConvolutionstatement and proof · cited by 62
Cited by92
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.DayConvolution.unitstatement · cited by 60
- CategoryTheory.MonoidalCategory.DayConvolution.mapstatement and proof · cited by 21
- CategoryTheory.MonoidalCategory.DayConvolution.unit_app_map_app_assocstatement and proof · cited by 12
- CategoryTheory.MonoidalCategory.DayConvolution.associatorstatement and proof · cited by 11
- CategoryTheory.MonoidalCategory.DayConvolution.braidingstatement · cited by 11
- CategoryTheory.MonoidalCategory.DayConvolution.corepresentableBystatement and proof · cited by 10
- CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitorstatement · cited by 9
- CategoryTheory.MonoidalCategory.DayConvolutionUnit.rightUnitorstatement · cited by 9
- CategoryTheory.MonoidalCategory.DayConvolution.unit_app_map_appstatement and proof · cited by 6
- CategoryTheory.MonoidalCategory.DayConvolution.corepresentableBy₂'statement and proof · cited by 5
- CategoryTheory.MonoidalCategory.DayConvolution.unit_app_braiding_hom_appstatement and proof · cited by 5
- CategoryTheory.MonoidalCategory.DayConvolution.unit_app_braiding_hom_app_assocstatement and proof · cited by 5