Mathlib Map

Theorems · Definition · category theory

TopCat.LocalPredicate.toPrelocalPredicate

{X : TopCat} → {T : ↑X → Type u_1} → TopCat.LocalPredicate T → TopCat.PrelocalPredicate T
Defined in
Mathlib.Topology.Sheaves.LocalPredicate
Cited by
48 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

TopCat.subsheafToTypes · cited by 5TopCat.subsheafToTypesAlgebraicGeometry.StructureSheaf.comap_apply · cited by 5StructureSheaf.comap_applyTopCat.stalkToFiber · cited by 4TopCat.stalkToFiberTopCat.LocalPredicate.cocone · cited by 3LocalPredicate.coconeAlgebraicGeometry.stalkToFiberRingHom_germ · cited by 3AlgebraicGeometry.stalkTo…AlgebraicGeometry.Proj.stalkIso'_germ · cited by 2Proj.stalkIso'_germsmoothSheafCommRing.evalHom_germ · cited by 2smoothSheafCommRing.evalH…TopCat.stalkToFiber_germ · cited by 2TopCat.stalkToFiber_germTopCat.stalkToFiber_surjective · cited by 2TopCat.stalkToFiber_surje…TopCat.stalkToFiber_ι · cited by 1TopCat.stalkToFiber_ιAlgebraicGeometry.ProjectiveSpectrum.Proj.awayToSection_apply · cited by 1Proj.awayToSection_applyAlgebraicGeometry.Proj.res_apply · cited by 1Proj.res_applyContMDiff.smoothSheafHom_hom_app_hom · cited by 1ContMDiff.smoothSheafHom_…smoothSheafCommRing.eval_germ · cited by 1smoothSheafCommRing.eval_…TopCat.LocalPredicate.locality · cited by 1LocalPredicate.localityTopCat.carrier · cited by 3184TopCat.carrierTopCat · cited by 1889TopCatTopCat.PrelocalPredicate · cited by 15TopCat.PrelocalPredicateTopCat.LocalPredicate · cited by 10TopCat.LocalPredicateLocalPredicate.toPrelocalPred…CITED BYCITES

Cites4

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

Cited by54

Results whose statement or proof uses this declaration.