Theorems · Theorem · real analysis
ENNReal.ofReal_mul
∀ {p q : ℝ}, 0 ≤ p → ENNReal.ofReal (p * q) = ENNReal.ofReal p * ENNReal.ofReal q- Defined in
- Mathlib.Data.ENNReal.Real
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- ENNRealstatement · cited by 9,879
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.ofRealstatement · cited by 863
- Real.toNNRealproof · cited by 267
- Real.toNNReal_mulproof · cited by 6
Cited by44
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.singularPart_compl_mutuallySingularSetSliceproof · cited by 4
- AddCircle.volume_closedBallproof · cited by 4
- Measure.ext_of_integral_prod_mul_prod_boundedContinuousFunctionproof · cited by 4
- ContinuousLinearMap.opENorm_le_boundproof · cited by 3
- ENNReal.ofReal_nsmulproof · cited by 3
- Real.map_volume_mul_leftproof · cited by 2
- MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProdproof · cited by 2
- MeasureTheory.tilted_tiltedproof · cited by 2
- Real.smul_map_volume_mul_leftproof · cited by 2
- MeasureTheory.norm_indicatorConstLp_leproof · cited by 2