Theorems · Definition · category theory
CategoryTheory.GrothendieckTopology.pointBot
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.LocallySmall.{w, v, u} C] → C → ⊥.PointIf X is an object of C, this is the point of the site (C, ⊥) (whose
sheaves are presheaves, see sheafBotEquivalence) corresponding to X.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objproof · cited by 19,642
- Bot.botstatement and proof · cited by 4,720
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Sieveproof · cited by 552
- CategoryTheory.Functor.flipproof · cited by 320
- CategoryTheory.LocallySmallstatement and proof · cited by 242
- CategoryTheory.GrothendieckTopology.Pointstatement · cited by 123
- CategoryTheory.shrinkYonedaproof · cited by 64
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.GrothendieckTopology.pointBotFunctorproof · cited by 2
- CategoryTheory.GrothendieckTopology.pointBotPresheafFiberIsostatement and proof · cited by 1
- CategoryTheory.GrothendieckTopology.pointsBotproof · cited by 1
- CategoryTheory.GrothendieckTopology.pointBotFunctor_map_homstatement · cited by 0
- CategoryTheory.GrothendieckTopology.pointBotFunctor_objstatement · cited by 0
- CategoryTheory.GrothendieckTopology.pointBotPresheafFiberIso_invstatement · cited by 0
- CategoryTheory.GrothendieckTopology.pointBot_fiberstatement and proof · cited by 0
- CategoryTheory.GrothendieckTopology.isConservative_pointsBotproof · cited by 0