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Theorems · Theorem · general topology

continuousWithinAt_singleton

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β} {x : α},
  ContinuousWithinAt f {x} x
Defined in
Mathlib.Topology.ContinuousOn
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

continuousWithinAt_sdiff_self · cited by 6continuousWithinAt_sdiff_…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpacenhds · cited by 5554nhdsFilter.Tendsto · cited by 3814Filter.TendstoContinuousWithinAt · cited by 512ContinuousWithinAtnhdsWithin_singleton · cited by 12nhdsWithin_singletoncontinuousWithinAt_singletonCITED BYCITES

Cites6

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Cited by1

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