Theorems · Definition · category theory
TopCat.PrelocalPredicate.pred
{X : TopCat} →
{T : ↑X → Type u_1} → TopCat.PrelocalPredicate T → {U : TopologicalSpace.Opens ↑X} → ((x : ↥U) → T ↑x) → PropThe underlying predicate of a prelocal predicate
- Defined in
- Mathlib.Topology.Sheaves.LocalPredicate
- Cited by
- 56 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement and proof · cited by 3,184
- TopologicalSpace.Opensstatement · cited by 2,040
- TopCatstatement and proof · cited by 1,889
- TopCat.PrelocalPredicatestatement and proof · cited by 15
Cited by68
Results whose statement or proof uses this declaration.
- TopCat.subpresheafToTypesproof · cited by 6
- AlgebraicGeometry.StructureSheaf.comap_applystatement · cited by 5
- TopCat.PrelocalPredicate.sheafifyproof · cited by 5
- AlgebraicGeometry.stalkToFiberRingHom_germstatement · cited by 3
- TopCat.stalkToFiber_germstatement · cited by 2
- TopCat.stalkToFiber_surjectivestatement and proof · cited by 2
- AlgebraicGeometry.Proj.stalkIso'_germstatement · cited by 2
- smoothSheafCommRing.evalHom_germstatement · cited by 2
- TopCat.LocalPredicate.mk.injstatement and proof · cited by 1
- TopCat.LocalPredicate.mk.noConfusionstatement and proof · cited by 1
- AlgebraicGeometry.StructureSheaf.comapₗ_eq_localRingHomstatement · cited by 1
- AlgebraicGeometry.StructureSheaf.const_applystatement · cited by 1