Theorems · Definition · category theory
CategoryTheory.GrothendieckTopology.pointBotFunctor
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.LocallySmall.{w, v, u} C] → CategoryTheory.Functor C ⊥.PointThe functor C ⥤ Point.{w} (⊥ : GrothendieckTopology C) which sends
X : C to the point corresponding to X.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Functor.mapproof · cited by 8,698
- Bot.botstatement · cited by 4,720
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Functor.flipproof · cited by 320
- CategoryTheory.LocallySmallstatement and proof · cited by 242
- CategoryTheory.GrothendieckTopology.Pointstatement · cited by 123
- CategoryTheory.shrinkYonedaproof · cited by 64
- CategoryTheory.GrothendieckTopology.pointBotproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.GrothendieckTopology.pointBotFunctor_map_homstatement and proof · cited by 0
- CategoryTheory.GrothendieckTopology.pointBotFunctor_objstatement and proof · cited by 0