Mathlib Map

Theorems · Definition · category theory

lightProfiniteToLightCondSet

CategoryTheory.Functor LightProfinite LightCondSet

The functor from LightProfinite.{u} to LightCondSet.{u} given by the Yoneda sheaf.

Defined in
Mathlib.Condensed.Light.Functors
Cited by
11 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LightProfinite.toCondensed · cited by 12LightProfinite.toCondensedLightCondensed.internallyProjective_iff_tensor_condition · cited by 2LightCondensed.internally…lightProfiniteToLightCondSetIsoTopCatToLightCondSet · cited by 2lightProfiniteToLightCond…LightCondensed.internallyProjective_iff_tensor_condition' · cited by 1LightCondensed.internally…LightCondensed.free_internallyProjective_iff_tensor_condition · cited by 1LightCondensed.free_inter…LightCondensed.free_internallyProjective_iff_tensor_condition' · cited by 1LightCondensed.free_inter…LightCondensed.free_lightProfinite_internallyProjective_iff_tensor_condition' · cited by 1LightCondensed.free_light…LightCondMod.factorsThru_lightProfinite_epi_of_epi · cited by 1LightCondMod.factorsThru_…LightCondensed.ihomPoints_symm_comp · cited by 1LightCondensed.ihomPoints…LightCondensed.internallyProjective_free_natUnionInfty · cited by 0LightCondensed.internally…LightCondensed.free_lightProfinite_internallyProjective_iff_tensor_condition · cited by 0LightCondensed.free_light…lightProfiniteToLightCondSetFullyFaithful · cited by 0lightProfiniteToLightCond…lightProfiniteToLightCondSetIsoTopCatToLightCondSet_hom_app_hom_app_hom_apply_apply · cited by 0lightProfiniteToLightCond…lightProfiniteToLightCondSetIsoTopCatToLightCondSet_inv_app_hom_app_hom_apply_hom_hom · cited by 0lightProfiniteToLightCond…CategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeTopCat.carrier · cited by 3184TopCat.carrierTopCat · cited by 1889TopCatCategoryTheory.Presheaf.IsSheaf · cited by 991Presheaf.IsSheafSecondCountableTopology · cited by 750SecondCountableTopologyTotallyDisconnectedSpace · cited by 295TotallyDisconnectedSpaceCategoryTheory.coherentTopology · cited by 141CategoryTheory.coherentTo…LightProfinite · cited by 90LightProfiniteCategoryTheory.GrothendieckTopology.yoneda · cited by 37GrothendieckTopology.yone…LightCondSet · cited by 26LightCondSetlightProfiniteToLightCondSetCITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by14

Results whose statement or proof uses this declaration.