Theorems · Definition · category theory
CategoryTheory.Limits.FormalCoproduct.powerFunctor
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
(α : Type t) →
[CategoryTheory.Limits.HasProductsOfShape α C] →
CategoryTheory.Functor (CategoryTheory.Limits.FormalCoproduct C) (CategoryTheory.Limits.FormalCoproduct C)Given a type α, this is the functor FormalCoproduct C ⥤ FormalCoproduct C
which sends U to U.power α.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Limits.FormalCoproductstatement and proof · cited by 122
- CategoryTheory.Limits.HasProductsOfShapestatement and proof · cited by 63
- CategoryTheory.Limits.FormalCoproduct.powerproof · cited by 27
- CategoryTheory.Limits.FormalCoproduct.powerMapproof · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.FormalCoproduct.powerBifunctorproof · cited by 2
- CategoryTheory.Limits.FormalCoproduct.powerFunctor.congr_simpstatement and proof · cited by 0
- CategoryTheory.Limits.FormalCoproduct.powerBifunctor_map_appstatement · cited by 0
- CategoryTheory.Limits.FormalCoproduct.powerBifunctor_objstatement · cited by 0
- CategoryTheory.Limits.FormalCoproduct.powerFunctor_mapstatement and proof · cited by 0
- CategoryTheory.Limits.FormalCoproduct.powerFunctor_objstatement and proof · cited by 0