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Theorems · Theorem · real analysis

Real.continuousAt_logb

∀ {b x : ℝ}, x ≠ 0 → ContinuousAt (Real.logb b) x
Defined in
Mathlib.Analysis.SpecialFunctions.Log.Base
Cited by
2 results in Mathlib
Foundations
Depth 172 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.

Filter.Tendsto.logb · cited by 2Tendsto.logbReal.continuousAt_logb_iff · cited by 0Real.continuousAt_logb_iffReal · cited by 25697RealReal.log · cited by 939Real.logContinuousAt · cited by 697ContinuousAtReal.logb · cited by 119Real.logbReal.continuousAt_log · cited by 7Real.continuousAt_logContinuousAt.div_const · cited by 2ContinuousAt.div_constReal.continuousAt_logbCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.