Theorems · Theorem · general topology
TopologicalSpace.NoetherianSpace.iUnion
∀ {α : Type u_1} [inst : TopologicalSpace α] {ι : Type u_3} (f : ι → Set α) [Finite ι]
[hf : ∀ (i : ι), TopologicalSpace.NoetherianSpace ↑(f i)], TopologicalSpace.NoetherianSpace ↑(⋃ i, f i)- Defined in
- Mathlib.Topology.NoetherianSpace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Finitestatement and proof · cited by 3,029
- Set.iUnionstatement and proof · cited by 2,483
- IsCompactproof · cited by 1,282
- Set.inter_subset_rightproof · cited by 329
- Set.inter_iUnionproof · cited by 59
- Set.inter_eq_leftproof · cited by 44
- TopologicalSpace.NoetherianSpacestatement and proof · cited by 23
- isCompact_iUnionproof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.