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Theorems · Theorem · real analysis

Real.strictMonoOn_logb

∀ {b : ℝ}, 1 < b → StrictMonoOn (Real.logb b) (Set.Ioi 0)
Defined in
Mathlib.Analysis.SpecialFunctions.Log.Base
Cited by
1 results in Mathlib
Foundations
Depth 176 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.

Real.logb_injOn_pos · cited by 1Real.logb_injOn_posReal · cited by 25697RealSet.Ioi · cited by 1463Set.IoiStrictMonoOn · cited by 194StrictMonoOnReal.logb · cited by 119Real.logbReal.logb_lt_logb · cited by 2Real.logb_lt_logbReal.strictMonoOn_logbCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.