Theorems · Theorem · algebraic geometry
Topology.IsLocallyConstructible.isConstructible_of_subset_of_isCompact
∀ {X : Type u_2} [inst : TopologicalSpace X] {s t : Set X} [PrespectralSpace X] [QuasiSeparatedSpace X],
Topology.IsLocallyConstructible s → s ⊆ t → IsCompact t → Topology.IsConstructible s- Defined in
- Mathlib.Topology.Constructible
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- nhdsproof · cited by 5,554
- Set.preimageproof · cited by 4,946
- LE.le.transproof · cited by 3,151
- Set.iUnionproof · cited by 2,483
- IsOpenproof · cited by 2,400
- IsCompactstatement and proof · cited by 1,282
Cited by2
Results whose statement or proof uses this declaration.
- Topology.IsLocallyConstructible.isConstructibleproof · cited by 2
- Topology.IsLocallyConstructible.inter_of_isOpen_isCompactproof · cited by 1