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Theorems · Definition · category theory

CategoryTheory.sum.inverseAssociator

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (D : Type u₂) →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (E : Type u₃) → [inst_2 : CategoryTheory.Category.{v₃, u₃} E] → CategoryTheory.Functor (C ⊕ D ⊕ E) ((C ⊕ D) ⊕ E)

The inverse associator functor C ⊕ (D ⊕ E) ⥤ (C ⊕ D) ⊕ E for sums of categories.

Defined in
Mathlib.CategoryTheory.Sums.Associator
Cited by
21 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category

Around this declaration

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CategoryTheory.sum.associativity · cited by 8sum.associativityCategoryTheory.sum.inlCompInrCompInverseAssociator · cited by 4sum.inlCompInrCompInverse…CategoryTheory.sum.inlCompInverseAssociator · cited by 4sum.inlCompInverseAssocia…CategoryTheory.sum.inrCompInrCompInverseAssociator · cited by 4sum.inrCompInrCompInverse…CategoryTheory.sum.inrCompInverseAssociator · cited by 2sum.inrCompInverseAssocia…CategoryTheory.sum.associativity_inverse · cited by 0sum.associativity_inverseCategoryTheory.sum.inlCompInrCompInverseAssociator_hom_app_down_down · cited by 0sum.inlCompInrCompInverse…CategoryTheory.sum.inlCompInrCompInverseAssociator_inv_app_down_down · cited by 0sum.inlCompInrCompInverse…CategoryTheory.sum.inlCompInverseAssociator_hom_app_down_down · cited by 0sum.inlCompInverseAssocia…CategoryTheory.sum.inlCompInverseAssociator_inv_app_down_down · cited by 0sum.inlCompInverseAssocia…CategoryTheory.Sum.associativityFunctorEquivNaturalityFunctorIso_hom_app_fst · cited by 0Sum.associativityFunctorE…CategoryTheory.Sum.associativityFunctorEquivNaturalityFunctorIso_hom_app_snd_fst · cited by 0Sum.associativityFunctorE…CategoryTheory.Sum.associativityFunctorEquivNaturalityFunctorIso_hom_app_snd_snd · cited by 0Sum.associativityFunctorE…CategoryTheory.Sum.associativityFunctorEquivNaturalityFunctorIso_inv_app_fst · cited by 0Sum.associativityFunctorE…CategoryTheory.Sum.associativityFunctorEquivNaturalityFunctorIso_inv_app_snd_fst · cited by 0Sum.associativityFunctorE…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Sum.inl_ · cited by 63Sum.inl_CategoryTheory.Sum.inr_ · cited by 63Sum.inr_CategoryTheory.Functor.sum' · cited by 43Functor.sum'sum.inverseAssociatorCITED BYCITES

Cites6

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Cited by26

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