Theorems · Theorem · general topology
isClosedMap_dist
∀ {α : Type u_1} [inst : PseudoMetricSpace α] [ProperSpace α] (x : α), IsClosedMap (dist x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpaceProperSpace
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- ProperSpacestatement and proof · cited by 190
- IsClosedMapstatement · cited by 138
- IsProperMap.isClosedMapproof · cited by 14
- isProperMap_distproof · cited by 3
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