Theorems · Definition · general topology
LightDiagram.cone
(self : LightDiagram) → CategoryTheory.Limits.Cone (self.diagram.comp FintypeCat.toProfinite)
The limit cone.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 93 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.
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- Finitestatement · cited by 3,029
- TopCatstatement · cited by 1,889
- CategoryTheory.Limits.Conestatement · cited by 710
- TotallyDisconnectedSpacestatement · cited by 295
- FintypeCatstatement · cited by 217
- Profinitestatement · cited by 75
- FintypeCat.toProfinitestatement · cited by 32
- LightDiagramstatement and proof · cited by 11
- LightDiagram.diagramstatement · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- LightDiagram.toProfiniteproof · cited by 6
- lightDiagramToLightProfiniteproof · cited by 2
- LightDiagram.isLimitstatement · cited by 1
- LightProfinite.lightToProfinite_map_proj_eqproof · cited by 1
- lightDiagramToLightProfinite_mapstatement · cited by 0
- lightDiagramToLightProfinite_objstatement · cited by 0
- LightProfinite.asLimitConeAuxproof · cited by 0
- LightProfinite.isoMapConestatement and proof · cited by 0