Theorems · Definition · category theory
LightCondensed.isoFinYonedaComponents
(F : CategoryTheory.Functor LightProfiniteᵒᵖ (Type u)) →
[CategoryTheory.Limits.PreservesFiniteProducts F] →
(X : LightProfinite) →
[Finite ↑X.toTop] → F.obj (Opposite.op X) ≅ ↑X.toTop → F.obj (Opposite.op (LightProfinite.of PUnit.{u + 1}))Auxiliary definition for isoFinYoneda.
- Defined in
- Mathlib.Condensed.Discrete.Colimit
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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.Isostatement · cited by 3,963
- TopCat.carrierstatement and proof · cited by 3,184
- Finitestatement and proof · cited by 3,029
- Quiver.Hom.opproof · cited by 1,948
- TopCatstatement · cited by 1,889
- SecondCountableTopologystatement · cited by 750
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- CategoryTheory.Limits.Cofan.injproof · cited by 170
Cited by6
Results whose statement or proof uses this declaration.
- LightCondensed.isoFinYonedaproof · cited by 4
- LightCondensed.isoFinYonedaComponents_hom_applystatement · cited by 1
- LightCondensed.isoFinYonedaComponents_inv_compstatement and proof · cited by 1
- LightCondensed.isoFinYonedaComponents.congr_simpstatement and proof · cited by 0
- LightCondensed.isoFinYonedaComponents_homstatement · cited by 0
- LightCondensed.isoLocallyConstantOfIsColimit_invproof · cited by 0