Theorems · Definition · category theory
CategoryTheory.Limits.Pi.functor
(α : Type w₂) →
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.Limits.HasProductsOfShape α C] → CategoryTheory.Functor (α → C) CThe functor (f : α → C) ↦ ∏ᶜ f.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 36 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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Limits.piObjproof · cited by 237
- CategoryTheory.Limits.HasProductsOfShapestatement and proof · cited by 63
- CategoryTheory.Limits.Pi.mapproof · cited by 39
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.pointwiseProductproof · cited by 14
- CategoryTheory.Limits.colimitPointwiseProductToProductColimitstatement and proof · cited by 6
- CategoryTheory.Limits.coconePointwiseProductproof · cited by 6
- CategoryTheory.Limits.piEquivalenceFunctorDiscreteCompLimstatement · cited by 4
- CategoryTheory.Limits.Pi.constCompPiIsoConststatement and proof · cited by 3
- CategoryTheory.Limits.Pi.functorπstatement · cited by 3
- CategoryTheory.Limits.ι_colimitPointwiseProductToProductColimit_π_assocstatement · cited by 1
- CategoryTheory.Limits.piEquivalenceFunctorDiscreteCompLim_comp_functorπstatement · cited by 1
- CategoryTheory.Limits.colimitPointwiseProductToProductColimit_appstatement · cited by 0
- CategoryTheory.Limits.piEquivalenceFunctorDiscreteCompLim_comp_functorπ_assocstatement · cited by 0
- CategoryTheory.Limits.piEquivalenceFunctorDiscreteCompLim_hom_appstatement · cited by 0
- CategoryTheory.Limits.piEquivalenceFunctorDiscreteCompLim_inv_appstatement · cited by 0