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
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
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Sum.inl_proof · cited by 63
- CategoryTheory.Sum.inr_proof · cited by 63
- CategoryTheory.Functor.sum'proof · cited by 43
Cited by26
Results whose statement or proof uses this declaration.
- CategoryTheory.sum.associativityproof · cited by 8
- CategoryTheory.sum.inlCompInrCompInverseAssociatorstatement · cited by 4
- CategoryTheory.sum.inlCompInverseAssociatorstatement · cited by 4
- CategoryTheory.sum.inrCompInrCompInverseAssociatorstatement · cited by 4
- CategoryTheory.sum.inrCompInverseAssociatorstatement · cited by 2
- CategoryTheory.sum.associativity_inversestatement · cited by 0
- CategoryTheory.sum.inlCompInrCompInverseAssociator_hom_app_down_downstatement · cited by 0
- CategoryTheory.sum.inlCompInrCompInverseAssociator_inv_app_down_downstatement · cited by 0
- CategoryTheory.sum.inlCompInverseAssociator_hom_app_down_downstatement · cited by 0
- CategoryTheory.sum.inlCompInverseAssociator_inv_app_down_downstatement · cited by 0
- CategoryTheory.Sum.associativityFunctorEquivNaturalityFunctorIso_hom_app_fststatement · cited by 0
- CategoryTheory.Sum.associativityFunctorEquivNaturalityFunctorIso_hom_app_snd_fststatement · cited by 0