Theorems · Theorem · general topology
ContinuousAt.ereal_toENNReal
∀ {α : Type u_2} [inst : TopologicalSpace α] {f : α → EReal} {x : α},
ContinuousAt f x → ContinuousAt (fun x => (f x).toENNReal) x- Defined in
- Mathlib.Topology.Instances.EReal.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement · cited by 9,879
- ERealstatement and proof · cited by 793
- ContinuousAtstatement and proof · cited by 697
- Continuous.continuousAtproof · cited by 297
- ContinuousAt.compproof · cited by 56
- EReal.toENNRealstatement · cited by 32
- EReal.continuous_toENNRealproof · cited by 4
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