Theorems · Theorem · general topology
separatesPoints_continuous_of_t35Space
∀ {X : Type u} [inst : TopologicalSpace X] [T35Space X], {f | Continuous f}.SeparatesPoints- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT35Space
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemproof · cited by 7,166
- Set.ofPredstatement · cited by 6,101
- Continuousstatement and proof · cited by 2,592
- unitIntervalproof · cited by 607
- Set.EqOnproof · cited by 603
- Continuous.compproof · cited by 371
- continuous_subtype_valproof · cited by 159
- isClosed_singletonproof · cited by 66
- T35Spacestatement and proof · cited by 10
- Set.SeparatesPointsstatement · cited by 4
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