Theorems · Definition · category theory
Condensed.profiniteSolidIsPointwiseRightKanExtension
(R : Type (u + 1)) →
[inst : Ring R] →
(CategoryTheory.Functor.RightExtension.mk (Condensed.profiniteSolid R)
(Condensed.profiniteSolidCounit R)).IsPointwiseRightKanExtensionThe functor Profinite.{u} ⥤ CondensedMod.{u} R is a pointwise
right Kan extension of finFree R : FintypeCat.{u} ⥤ CondensedMod.{u} R
along FintypeCat.toProfinite.
- Defined in
- Mathlib.Condensed.Solid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Ringstatement and proof · cited by 7,463
- TopCat.carrierstatement · cited by 3,184
- Finitestatement · cited by 3,029
- TopCatstatement · cited by 1,889
- ModuleCatstatement · cited by 1,429
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- TotallyDisconnectedSpacestatement · cited by 295
- FintypeCatstatement · cited by 217
- CategoryTheory.coherentTopologystatement · cited by 141
- Profinitestatement · cited by 75
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.