Theorems · Definition · category theory
LightCondensed.locallyConstantIsoFinYoneda
(F : CategoryTheory.Functor LightProfiniteᵒᵖ (Type u)) →
FintypeCat.toLightProfinite.op.comp
(LightCondensed.locallyConstantPresheaf
(F.obj (FintypeCat.toLightProfinite.op.obj (Opposite.op (FintypeCat.of PUnit.{u + 1}))))) ≅
LightCondensed.finYoneda FlocallyConstantPresheaf restricted to finite sets is isomorphic to finYoneda F.
- Defined in
- Mathlib.Condensed.Discrete.Colimit
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · 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
- Finitestatement · cited by 3,029
- TopCatstatement · cited by 1,889
- CategoryTheory.Functor.opstatement and proof · cited by 997
- SecondCountableTopologystatement · cited by 750
- TypeCat.ofHomproof · cited by 389
- TotallyDisconnectedSpacestatement · cited by 295
Cited by2
Results whose statement or proof uses this declaration.
- LightCondensed.isoLocallyConstantOfIsColimitproof · cited by 2
- LightCondensed.isoLocallyConstantOfIsColimit_invproof · cited by 0