Theorems · Definition · category theory
LightCondensed.isoFinYoneda
(F : CategoryTheory.Functor LightProfiniteᵒᵖ (Type u)) → [CategoryTheory.Limits.PreservesFiniteProducts F] → FintypeCat.toLightProfinite.op.comp F ≅ LightCondensed.finYoneda F
The restriction of a finite-product-preserving presheaf F on Profinite to the category of
finite sets is isomorphic to finYoneda F.
- Defined in
- Mathlib.Condensed.Discrete.Colimit
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 158 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.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- TopCat.carrierstatement · cited by 3,184
- Finitestatement · cited by 3,029
- Opposite.unopproof · cited by 2,231
- TopCatstatement · cited by 1,889
- CategoryTheory.Functor.opstatement · cited by 997
- SecondCountableTopologystatement · cited by 750
Cited by5
Results whose statement or proof uses this declaration.
- LightCondensed.isoLocallyConstantOfIsColimitproof · cited by 2
- LightCondensed.isoFinYoneda_hom_app_hom_applystatement and proof · cited by 0
- LightCondensed.isoFinYoneda_inv_app_hom_applystatement and proof · cited by 0
- LightCondensed.isoLocallyConstantOfIsColimit_invproof · cited by 0
- LightCondensed.isoFinYoneda.congr_simpstatement and proof · cited by 0