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Theorems · Theorem · real analysis

ENNReal.log_monotone

Monotone ENNReal.log
Defined in
Mathlib.Analysis.SpecialFunctions.Log.ENNRealLog
Cited by
14 results in Mathlib
Foundations
Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

ExpGrowth.expGrowthSup_eventually_monotone · cited by 3ExpGrowth.expGrowthSup_ev…ExpGrowth.expGrowthInf_eventually_monotone · cited by 3ExpGrowth.expGrowthInf_ev…Monotone.expGrowthInf_nonneg · cited by 3Monotone.expGrowthInf_non…ExpGrowth.expGrowthSup_sup · cited by 2ExpGrowth.expGrowthSup_supMonotone.expGrowthSup_comp_mul · cited by 1Monotone.expGrowthSup_com…ExpGrowth.expGrowthInf_comp_nonneg · cited by 1ExpGrowth.expGrowthInf_co…ExpGrowth.expGrowthInf_inf · cited by 1ExpGrowth.expGrowthInf_infDynamics.IsDynCoverOf.coverEntropyEntourage_le_log_card_div · cited by 1IsDynCoverOf.coverEntropy…ENNReal.log_le_log · cited by 1ENNReal.log_le_logMonotone.expGrowthSup_comp · cited by 0Monotone.expGrowthSup_compMonotone.le_expGrowthSup_comp · cited by 0Monotone.le_expGrowthSup_…Monotone.expGrowthInf_comp · cited by 0Monotone.expGrowthInf_compMonotone.expGrowthInf_comp_le · cited by 0Monotone.expGrowthInf_com…Monotone.expGrowthInf_comp_mul · cited by 0Monotone.expGrowthInf_com…ENNReal · cited by 9879ENNRealMonotone · cited by 1397MonotoneEReal · cited by 793ERealStrictMono.monotone · cited by 118StrictMono.monotoneENNReal.log · cited by 72ENNReal.logENNReal.log_strictMono · cited by 5ENNReal.log_strictMonoENNReal.log_monotoneCITED BYCITES

Cites6

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

Cited by14

Results whose statement or proof uses this declaration.