Theorems · Theorem · real analysis
ENNReal.toReal_ofReal
∀ {r : ℝ}, 0 ≤ r → (ENNReal.ofReal r).toReal = r- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 82 results in Mathlib
- Foundations
- Depth 109 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 and proof · cited by 25,697
- ENNReal.ofRealstatement · cited by 863
- ENNReal.toRealstatement · cited by 859
- max_eq_leftproof · cited by 96
Cited by82
Results whose statement or proof uses this declaration.
- dist_edistproof · cited by 21
- ENNReal.toReal_natCastproof · cited by 15
- ProbabilityTheory.variance_const_mulproof · cited by 5
- ProbabilityTheory.cdf_eq_realproof · cited by 5
- fourierCoeff_eq_intervalIntegralproof · cited by 4
- integral_withDensity_eq_integral_smulproof · cited by 4
- InformationTheory.toReal_klDivproof · cited by 3
- InformationTheory.toReal_klDiv_eq_integral_klFunproof · cited by 3
- MeasureTheory.tendsto_of_integral_tendsto_of_monotoneproof · cited by 3
- MeasureTheory.Measure.integral_comp_smulproof · cited by 3
- ENNReal.log_ofRealproof · cited by 3
- SchwartzMap.denseRange_toLpCLMproof · cited by 3