Theorems · Definition · category theory
LightCondSet.LocallyConstant.functor
CategoryTheory.Functor (Type u) LightCondSet
The functor from sets to light condensed sets given by locally constant maps into the set.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- SecondCountableTopologystatement and proof · cited by 750
- TotallyDisconnectedSpacestatement and proof · cited by 295
- CategoryTheory.coherentTopologystatement · cited by 141
- LightProfinitestatement · cited by 90
- LightCondSetstatement · cited by 26
- CompHausLike.LocallyConstant.functorproof · cited by 11
Cited by6
Results whose statement or proof uses this declaration.
- LightCondSet.LocallyConstant.adjunctionstatement · cited by 2
- LightCondSet.isDiscrete_tfaestatement and proof · cited by 1
- LightCondSet.mem_locallyConstant_essImage_of_isColimit_mapCoconestatement and proof · cited by 1
- LightCondSet.LocallyConstant.functorFullyFaithfulstatement · cited by 0
- LightCondMod.isDiscrete_tfaeproof · cited by 0
- LightCondSet.LocallyConstant.isostatement · cited by 0