Theorems · Definition · general topology
LightProfinite.diagram
LightProfinite → CategoryTheory.Functor ℕᵒᵖ LightProfinite
An abbreviation for S.fintypeDiagram ⋙ FintypeCat.toProfinite.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 106 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.
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compproof · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- SecondCountableTopologystatement · cited by 750
- TotallyDisconnectedSpacestatement · cited by 295
- LightProfinitestatement and proof · cited by 90
- FintypeCat.toLightProfiniteproof · cited by 23
- LightProfinite.fintypeDiagramproof · cited by 1
Cited by27
Results whose statement or proof uses this declaration.
- LightProfinite.asLimitConestatement and proof · cited by 9
- LightProfinite.projstatement · cited by 6
- LightProfinite.componentproof · cited by 5
- LightCondensed.isColimitLocallyConstantPresheafDiagramstatement · cited by 3
- LightProfinite.transitionMapLEproof · cited by 3
- LightProfinite.proj_surjectivestatement and proof · cited by 2
- LightProfinite.transitionMapproof · cited by 2
- LightCondensed.isoLocallyConstantOfIsColimitstatement · cited by 2
- LightCondensed.lanPresheafNatIsostatement · cited by 2
- LightProfinite.lightToProfinite_map_proj_eqstatement and proof · cited by 1
- LightProfinite.proj_comp_transitionMapstatement · cited by 1
- LightProfinite.proj_comp_transitionMap'statement and proof · cited by 1