Theorems · Theorem · real analysis
ENNReal.ofReal_toReal
∀ {a : ENNReal}, a ≠ ⊤ → ENNReal.ofReal a.toReal = a- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 65 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.ofRealstatement · cited by 863
- ENNReal.toRealstatement · cited by 859
- ENNReal.coe_toNNRealproof · cited by 53
- Real.toNNReal_coeproof · cited by 36
Cited by65
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_coe_eq_integralproof · cited by 11
- MeasureTheory.AECover.integrable_of_integral_norm_boundedproof · cited by 6
- MeasureTheory.ofReal_measureRealproof · cited by 6
- MeasureTheory.ofReal_integral_norm_eq_lintegral_enormproof · cited by 5
- ENNReal.ofReal_toReal_leproof · cited by 4
- MeasureTheory.MemLp.eLpNorm_eq_integral_rpow_normproof · cited by 4
- ENNReal.HolderTriple.of_toRealproof · cited by 3
- MeasureTheory.MemLp.norm_rpow_divproof · cited by 2
- ProbabilityTheory.Kernel.setLIntegral_densityproof · cited by 2
- ProbabilityTheory.Kernel.setLIntegral_rnDerivAuxproof · cited by 2
- MeasureTheory.Measure.variation_toSignedMeasureproof · cited by 2
- ProbabilityTheory.ofReal_varianceproof · cited by 2