Theorems · Theorem · real analysis
ENNReal.coe_eq_zero
∀ {r : NNReal}, ↑r = 0 ↔ r = 0- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement · cited by 1,279
- ENNReal.coe_injproof · cited by 26
Cited by13
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_iSupproof · cited by 16
- ENNReal.mul_rpow_eq_iteproof · cited by 5
- MeasureTheory.FiniteMeasure.mass_zero_iffproof · cited by 5
- MeasureTheory.Measure.hausdorffMeasure_zero_or_topproof · cited by 3
- Metric.inseparable_iff_nndistproof · cited by 3
- HolderOnWith.dimH_image_leproof · cited by 3
- MeasureTheory.Measure.IsAddHaarMeasure.nnreal_smulproof · cited by 2
- MeasureTheory.Measure.measure_isAddLeftInvariant_eq_vadd_of_ne_topproof · cited by 2
- MeasureTheory.Measure.exists_positive_of_not_mutuallySingularproof · cited by 1
- ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zeroproof · cited by 1
- ProbabilityTheory.meas_ge_le_evariance_div_sqproof · cited by 1
- MemHolder.nnHolderNorm_eq_zeroproof · cited by 0