Theorems · Theorem · real analysis
ENNReal.toReal_nonneg
∀ {a : ENNReal}, 0 ≤ a.toReal- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 86 results in Mathlib
- Foundations
- Depth 106 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.
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- ENNReal.toRealstatement · cited by 859
- ENNReal.toNNRealproof · cited by 165
Cited by86
Results whose statement or proof uses this declaration.
- MeasureTheory.measureReal_nonnegproof · cited by 21
- MeasureTheory.integral_toRealproof · cited by 15
- MeasureTheory.eLpNorm_mono_measureproof · cited by 13
- MeasureTheory.eLpNorm_mono_enorm_aeproof · cited by 7
- ZLattice.covolume_posproof · cited by 5
- ProbabilityTheory.Kernel.densityProcess_nonnegproof · cited by 5
- Metric.diam_nonnegproof · cited by 5
- ProbabilityTheory.variance_nonnegproof · cited by 4
- MeasureTheory.measureReal_union_leproof · cited by 4
- MeasureTheory.MemLp.eLpNorm_eq_integral_rpow_normproof · cited by 4
- InformationTheory.toReal_klDiv_eq_integral_klFunproof · cited by 3
- MeasureTheory.exists_eLpNorm_indicator_leproof · cited by 3