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Theorems · Definition · general topology

LightProfinite.asLimitCone

(S : LightProfinite) → CategoryTheory.Limits.Cone S.diagram

A cone over S.diagram whose cone point is S.

Defined in
Mathlib.Topology.Category.LightProfinite.AsLimit
Cited by
9 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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

LightProfinite.proj · cited by 6LightProfinite.projLightCondensed.isColimitLocallyConstantPresheafDiagram · cited by 3LightCondensed.isColimitL…LightCondensed.isoLocallyConstantOfIsColimit · cited by 2LightCondensed.isoLocally…LightCondensed.lanPresheafNatIso · cited by 2LightCondensed.lanPreshea…LightCondensed.lanPresheafIso · cited by 1LightCondensed.lanPreshea…LightCondensed.lanPresheafIso_hom · cited by 1LightCondensed.lanPreshea…LightCondensed.lanPresheafNatIso_hom_app · cited by 1LightCondensed.lanPreshea…LightCondSet.isDiscrete_tfae · cited by 1LightCondSet.isDiscrete_t…LightCondSet.mem_locallyConstant_essImage_of_isColimit_mapCocone · cited by 1LightCondSet.mem_locallyC…LightProfinite.proj_comp_transitionMap · cited by 1LightProfinite.proj_comp_…LightProfinite.proj_comp_transitionMapLE · cited by 1LightProfinite.proj_comp_…LightCondensed.isColimitLocallyConstantPresheafDiagram_desc_apply · cited by 0LightCondensed.isColimitL…LightProfinite.asLimit · cited by 0LightProfinite.asLimitLightProfinite.asLimit' · cited by 0LightProfinite.asLimit'LightCondensed.isoLocallyConstantOfIsColimit_inv · cited by 0LightCondensed.isoLocally…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Iso.inv · cited by 6514Iso.invTopCat.carrier · cited by 3184TopCat.carrierTopCat · cited by 1889TopCatSecondCountableTopology · cited by 750SecondCountableTopologyCategoryTheory.Limits.Cone · cited by 710Limits.ConeCategoryTheory.Limits.Cone.π · cited by 500Cone.πTotallyDisconnectedSpace · cited by 295TotallyDisconnectedSpaceCategoryTheory.Functor.mapIso · cited by 224Functor.mapIsoLightProfinite · cited by 90LightProfiniteCategoryTheory.Limits.Cone.forget · cited by 14Cone.forgetLightProfinite.asLimitConeCITED BYCITES

Cites21

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

Cited by17

Results whose statement or proof uses this declaration.