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Theorems · Theorem · real analysis

ENNReal.coe_ne_zero

∀ {r : NNReal}, ↑r ≠ 0 ↔ r ≠ 0
Defined in
Mathlib.Data.ENNReal.Basic
Cited by
22 results in Mathlib
Foundations
Depth 105 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.

ENNReal.le_div_iff_mul_le · cited by 15ENNReal.le_div_iff_mul_leDilation.antilipschitz · cited by 6Dilation.antilipschitzMeasureTheory.hasSum_integral_measure · cited by 4MeasureTheory.hasSum_inte…eHolderNorm_smul · cited by 2eHolderNorm_smulMeasureTheory.Measure.rnDeriv_smul_right · cited by 2Measure.rnDeriv_smul_rightStieltjesFunction.outer_Ioc · cited by 2StieltjesFunction.outer_I…MeasureTheory.Content.contentRegular_exists_compact · cited by 1Content.contentRegular_ex…HolderWith.smul_iff · cited by 1HolderWith.smul_iffMeasureTheory.Content.innerContent_exists_compact · cited by 1Content.innerContent_exis…MeasureTheory.UnifTight.add · cited by 1UnifTight.addDilation.ratio_unique_of_nndist_ne_zero · cited by 1Dilation.ratio_unique_of_…MeasureTheory.Measure.rnDeriv_smul_right' · cited by 1Measure.rnDeriv_smul_righ…MeasureTheory.Content.outerMeasure_exists_open · cited by 1Content.outerMeasure_exis…MeasureTheory.eLpNorm_smul_measure_of_ne_zero' · cited by 1MeasureTheory.eLpNorm_smu…NumberField.Units.dirichletUnitTheorem.exists_unit · cited by 1dirichletUnitTheorem.exis…ENNReal · cited by 9879ENNRealNNReal · cited by 4310NNRealENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealWithTop.coe_ne_zero · cited by 1WithTop.coe_ne_zeroENNReal.coe_ne_zeroCITED BYCITES

Cites4

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

Cited by22

Results whose statement or proof uses this declaration.