Theorems · Definition · general topology
LightProfinite.isoMapCone
(S : LightProfinite) → lightToProfinite.mapCone S.asLimitConeAux ≅ S.toLightDiagram.cone
An auxiliary isomorphism of cones used to prove that S.asLimitConeAux is a limit cone.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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 and proof · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- SecondCountableTopologystatement · cited by 750
- CategoryTheory.Limits.Conestatement and proof · cited by 710
- CategoryTheory.Limits.IsLimitproof · cited by 664
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.Functor.mapConestatement · cited by 147
- LightProfinitestatement and proof · cited by 90
- Profinitestatement · cited by 75
Cited by3
Results whose statement or proof uses this declaration.
- LightProfinite.asLimitConeproof · cited by 9
- LightProfinite.asLimitproof · cited by 0
- LightProfinite.asLimitAuxproof · cited by 0