Theorems · Definition · category theory
CategoryTheory.Functor.const
(J : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} J] →
{C : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} C] → CategoryTheory.Functor C (CategoryTheory.Functor J C)The functor sending X : C to the constant functor J ⥤ C sending everything to X.
- Defined in
- Mathlib.CategoryTheory.Functor.Const
- Cited by
- 1,264 results in Mathlib
- Foundations
- Depth 21 from the axioms, rests on 104 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.CategoryStruct.idproof · cited by 6,235
Cited by1,610
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.fromPUnitproof · cited by 769
- CategoryTheory.Limits.Cocone.ιstatement · cited by 605
- CategoryTheory.Limits.Cone.πstatement · cited by 500
- CategoryTheory.Limits.limit.lift_πstatement · cited by 266
- CategoryTheory.Limits.colimit.ι_descstatement · cited by 170
- CategoryTheory.Limits.PullbackCone.mk_π_appstatement · cited by 120
- CategoryTheory.Limits.BinaryFan.mkproof · cited by 112
- CategoryTheory.SimplicialObject.constproof · cited by 110
- CategoryTheory.Limits.limit.lift_π_assocstatement · cited by 95
- CategoryTheory.Limits.BinaryCofan.mkproof · cited by 83
- CategoryTheory.Limits.IsColimit.facstatement · cited by 82
- CategoryTheory.Limits.IsLimit.facstatement · cited by 67
Showing the 200 most cited of 1,610.