Theorems · Theorem · real analysis
ENNReal.toReal_zero
ENNReal.toReal 0 = 0
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 14 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement · cited by 9,879
- ENNReal.toRealstatement · cited by 859
Cited by14
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_eq_lintegral_of_nonneg_aeproof · cited by 31
- MeasureTheory.MemLp.mono_exponentproof · cited by 11
- MeasureTheory.DominatedFinMeasAdditive.eq_zero_of_measure_zeroproof · cited by 9
- MeasureTheory.JordanDecomposition.toSignedMeasure_injectiveproof · cited by 6
- MeasureTheory.Lp.tendsto_Lp_iff_tendsto_eLpNorm'proof · cited by 5
- ENNReal.tendsto_toReal_zero_iffproof · cited by 3
- ProbabilityTheory.Kernel.tendsto_integral_density_of_antitoneproof · cited by 2
- ae_eq_const_or_exists_average_ne_complproof · cited by 2
- ProbabilityTheory.isRatCondKernelCDFAux_preCDFproof · cited by 1
- MeasureTheory.Lp.ae_tendsto_of_cauchy_eLpNormproof · cited by 1
- MeasureTheory.JordanDecomposition.exists_compl_positive_negativeproof · cited by 1
- IntervalIntegrable.absolutelyContinuousOnInterval_intervalIntegralproof · cited by 1