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Theorems · Theorem · real analysis

ENNReal.log_zero

ENNReal.log 0 = ⊥
Defined in
Mathlib.Analysis.SpecialFunctions.Log.ENNRealLog
Cited by
8 results in Mathlib
Foundations
Depth 170 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.

ExpGrowth.expGrowthSup_zero · cited by 6ExpGrowth.expGrowthSup_ze…EReal.log_exp · cited by 6EReal.log_expENNReal.log_mul_add · cited by 4ENNReal.log_mul_addENNReal.log_rpow · cited by 4ENNReal.log_rpowENNReal.log_eq_bot_iff · cited by 2ENNReal.log_eq_bot_iffENNReal.exp_log · cited by 1ENNReal.exp_logENNReal.log_surjective · cited by 1ENNReal.log_surjectiveENNReal.bot_lt_log_iff · cited by 0ENNReal.bot_lt_log_iffENNReal · cited by 9879ENNRealBot.bot · cited by 4720Bot.botEReal · cited by 793ERealENNReal.log · cited by 72ENNReal.logENNReal.log_zeroCITED BYCITES

Cites4

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

Cited by8

Results whose statement or proof uses this declaration.