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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 V

The chosen convolution between the functors. Denoted F ⊛ G.

Defined in
Mathlib.CategoryTheory.Monoidal.DayConvolution
Cited by
67 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.MonoidalCategory.DayConvolution

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.MonoidalCategory.DayConvolution.unit · cited by 60DayConvolution.unitCategoryTheory.MonoidalCategory.DayConvolution.map · cited by 21DayConvolution.mapCategoryTheory.MonoidalCategory.DayConvolution.unit_app_map_app_assoc · cited by 12DayConvolution.unit_app_m…CategoryTheory.MonoidalCategory.DayConvolution.associator · cited by 11DayConvolution.associatorCategoryTheory.MonoidalCategory.DayConvolution.braiding · cited by 11DayConvolution.braidingCategoryTheory.MonoidalCategory.DayConvolution.corepresentableBy · cited by 10DayConvolution.corepresen…CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitor · cited by 9DayConvolutionUnit.leftUn…CategoryTheory.MonoidalCategory.DayConvolutionUnit.rightUnitor · cited by 9DayConvolutionUnit.rightU…CategoryTheory.MonoidalCategory.DayConvolution.unit_app_map_app · cited by 6DayConvolution.unit_app_m…CategoryTheory.MonoidalCategory.DayConvolution.corepresentableBy₂' · cited by 5DayConvolution.corepresen…CategoryTheory.MonoidalCategory.DayConvolution.unit_app_braiding_hom_app · cited by 5DayConvolution.unit_app_b…CategoryTheory.MonoidalCategory.DayConvolution.unit_app_braiding_hom_app_assoc · cited by 5DayConvolution.unit_app_b…CategoryTheory.MonoidalCategory.DayConvolutionInternalHom.coev_app · cited by 5DayConvolutionInternalHom…CategoryTheory.MonoidalCategory.DayConvolutionInternalHom.ev_app · cited by 5DayConvolutionInternalHom…CategoryTheory.MonoidalCategory.DayConvolution.associator_hom_unit_unit · cited by 4DayConvolution.associator…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategory.DayConvolution · cited by 62MonoidalCategory.DayConvo…DayConvolution.convolutionCITED BYCITES

Cites4

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Cited by92

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