Theorems · Definition · category theory
LightCondensed.discrete
(C : Type w) →
[inst : CategoryTheory.Category.{u, w} C] →
[CategoryTheory.HasSheafify (CategoryTheory.coherentTopology LightProfinite) C] →
CategoryTheory.Functor C (LightCondensed C)The discrete light condensed object associated to an object of C is the constant sheaf at that
object.
- Defined in
- Mathlib.Condensed.Discrete.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- SecondCountableTopologystatement · cited by 750
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.coherentTopologystatement and proof · cited by 141
- CategoryTheory.HasSheafifystatement and proof · cited by 106
- LightProfinitestatement and proof · cited by 90
- CategoryTheory.constantSheafproof · cited by 30
Cited by11
Results whose statement or proof uses this declaration.
- LightCondensed.discreteUnderlyingAdjstatement · cited by 2
- LightCondSet.isDiscrete_tfaestatement and proof · cited by 1
- LightCondensed.discrete.congr_simpstatement and proof · cited by 0
- LightCondMod.isDiscrete_tfaestatement and proof · cited by 0
- LightCondSet.LocallyConstant.isostatement · cited by 0
- LightCondSet.discreteproof · cited by 0
- LightCondensed.discrete_mapstatement and proof · cited by 0
- LightCondensed.discrete_objstatement and proof · cited by 0
- LightCondMod.LocallyConstant.functorIsoDiscretestatement · cited by 0
- LightCondMod.LocallyConstant.functorIsoDiscreteComponentsstatement · cited by 0
- LightCondMod.LocallyConstant.functorIsoDiscreteAux₂statement and proof · cited by 0