Theorems · Definition · category theory
Condensed.fintypeCatAsCofan
(X : Profinite) → CategoryTheory.Limits.Cofan fun x => Profinite.of PUnit.{u + 1}A finite set as a coproduct cocone in Profinite over itself.
- Defined in
- Mathlib.Condensed.Discrete.Colimit
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 153 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.
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- CategoryTheory.Limits.Cofanstatement · cited by 124
- CategoryTheory.Limits.Cofan.mkproof · cited by 105
- Profinitestatement and proof · cited by 75
- ContinuousMap.constproof · cited by 45
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
- Profinite.ofstatement and proof · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- Condensed.isoFinYonedaComponentsproof · cited by 5
- Condensed.fintypeCatAsCofanIsColimitstatement and proof · cited by 2
- Condensed.fintypeCatAsCofanIsColimit.congr_simpstatement · cited by 0
- Condensed.isoFinYoneda_hom_app_hom_applystatement and proof · cited by 0
- Condensed.isoFinYoneda_inv_app_hom_applystatement · cited by 0