Theorems · Theorem · algebraic geometry
IsRetrocompact.isConstructible
∀ {X : Type u_2} [inst : TopologicalSpace X] {U : Set X}, IsOpen U → IsRetrocompact U → Topology.IsConstructible U- Defined in
- Mathlib.Topology.Constructible
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- IsOpenstatement and proof · cited by 2,400
- Topology.IsConstructiblestatement · cited by 45
- IsRetrocompactstatement and proof · cited by 43
- BooleanSubalgebra.subset_closureproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- Topology.IsConstructible.preimageproof · cited by 3
- Topology.IsConstructible.image_of_isOpenEmbeddingproof · cited by 2
- PrimeSpectrum.ConstructibleSetData.isConstructible_toSetproof · cited by 2
- IsCompact.isConstructibleproof · cited by 2
- PrimeSpectrum.isConstructible_basicOpenproof · cited by 1
- Topology.IsConstructible.image_of_isClosedEmbeddingproof · cited by 1
- IsRetrocompact.isLocallyConstructibleproof · cited by 0