Theorems · Theorem · general topology
alexandrovDiscrete_iSup
∀ {ι : Sort u_1} {α : Type u_3} {t : ι → TopologicalSpace α}, (∀ (i : ι), AlexandrovDiscrete α) → AlexandrovDiscrete α- Defined in
- Mathlib.Topology.AlexandrovDiscrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- iSupstatement · cited by 2,415
- IsOpenproof · cited by 2,400
- AlexandrovDiscretestatement and proof · cited by 45
- isOpen_sInterproof · cited by 5
- isOpen_iSup_iffproof · cited by 4
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