Theorems · Theorem · general topology
TopologicalSpace.NoetherianSpace.of_subset
∀ {α : Type u_1} [inst : TopologicalSpace α] {W V : Set α} [TopologicalSpace.NoetherianSpace ↑W],
V ⊆ W → TopologicalSpace.NoetherianSpace ↑V- Defined in
- Mathlib.Topology.NoetherianSpace
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Set.Elemstatement and proof · cited by 7,166
- Topology.IsEmbedding.isInducingproof · cited by 47
- TopologicalSpace.NoetherianSpacestatement and proof · cited by 23
- Topology.IsEmbedding.inclusionproof · cited by 8
- Topology.IsInducing.noetherianSpaceproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- TopologicalSpace.NoetherianSpace.inter_of_leftproof · cited by 0
- TopologicalSpace.NoetherianSpace.inter_of_rightproof · cited by 0