Theorems · Theorem · general topology
Set.Subsingleton.continuousOn
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {s : Set α},
s.Subsingleton → ∀ (f : α → β), ContinuousOn f s- Defined in
- Mathlib.Topology.ContinuousOn
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousOnstatement · cited by 1,411
- Set.Subsingletonstatement and proof · cited by 276
- Set.Subsingleton.induction_onproof · cited by 12
- continuousOn_singletonproof · cited by 4
- continuousOn_emptyproof · cited by 3
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