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Theorems · Theorem · real analysis

Filter.Tendsto.logb

∀ {α : Type u_1} {b : ℝ} {f : α → ℝ} {l : Filter α} {x : ℝ},
  Filter.Tendsto f l (nhds x) → x ≠ 0 → Filter.Tendsto (fun y => Real.logb b (f y)) l (nhds (Real.logb b x))
Defined in
Mathlib.Analysis.SpecialFunctions.Log.Base
Cited by
2 results in Mathlib
Foundations
Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

ContinuousWithinAt.logb · cited by 1ContinuousWithinAt.logbContinuousAt.logb · cited by 0ContinuousAt.logbReal · cited by 25697RealFilter · cited by 8121Filternhds · cited by 5554nhdsFilter.Tendsto · cited by 3814Filter.TendstoFilter.Tendsto.comp · cited by 560Tendsto.compReal.logb · cited by 119Real.logbContinuousAt.tendsto · cited by 103ContinuousAt.tendstoReal.continuousAt_logb · cited by 2Real.continuousAt_logbTendsto.logbCITED BYCITES

Cites8

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Cited by2

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