Theorems · Theorem · real analysis
ContinuousAt.logb
∀ {α : Type u_1} {b : ℝ} [inst : TopologicalSpace α] {f : α → ℝ} {a : α},
ContinuousAt f a → f a ≠ 0 → ContinuousAt (fun x => Real.logb b (f x)) a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousAtstatement and proof · cited by 697
- Real.logbstatement · cited by 119
- Filter.Tendsto.logbproof · cited by 2
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