Theorems · Definition · category theory
Profinite.asLimit
(X : Profinite) → CategoryTheory.Limits.IsLimit X.asLimitCone
X.asLimitCone is indeed a limit cone.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 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.
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Limits.IsLimitstatement · cited by 664
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement · cited by 258
- Profinitestatement and proof · cited by 75
- DiscreteQuotientstatement · cited by 65
- CategoryTheory.Limits.IsLimit.ofIsoLimitproof · cited by 39
- Profinite.asLimitConestatement · cited by 8
- Profinite.diagramstatement and proof · cited by 8
- Profinite.limitConeIsLimitproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- Condensed.isColimitLocallyConstantPresheafDiagramproof · cited by 3
- Condensed.isColimitLocallyConstantPresheafDiagram_desc_applyproof · cited by 0
- Profinite.asLimit'proof · cited by 0
- Profinite.limproof · cited by 0