Theorems · Theorem · general topology
TopologicalSpace.noetherianSpace_iff_of_homeomorph
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] (f : α ≃ₜ β),
TopologicalSpace.NoetherianSpace α ↔ TopologicalSpace.NoetherianSpace β- Defined in
- Mathlib.Topology.NoetherianSpace
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement and proof · cited by 725
- Homeomorph.symmproof · cited by 365
- Homeomorph.continuousproof · cited by 53
- Homeomorph.surjectiveproof · cited by 23
- TopologicalSpace.NoetherianSpacestatement and proof · cited by 23
- TopologicalSpace.noetherianSpace_of_surjectiveproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.noetherianSpace_of_isAffineproof · cited by 1
- TopologicalSpace.noetherian_univ_iffproof · cited by 0