Theorems · Theorem · real analysis
ENNReal.ofReal_div_of_pos
∀ {x y : ℝ}, 0 < y → ENNReal.ofReal (x / y) = ENNReal.ofReal x / ENNReal.ofReal y- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 and proof · cited by 9,879
- LT.lt.leproof · cited by 2,189
- ENNReal.ofRealstatement and proof · cited by 863
- div_eq_mul_invproof · cited by 715
- inv_nonnegproof · cited by 56
- ENNReal.ofReal_inv_of_posproof · cited by 11
- ENNReal.ofReal_mul'proof · cited by 2
Cited by14
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.singularPart_compl_mutuallySingularSetSliceproof · cited by 4
- MeasureTheory.hausdorffMeasure_pi_realproof · cited by 3
- BoxIntegral.unitPartition.volume_boxproof · cited by 2
- ProbabilityTheory.meas_ge_le_variance_div_sqproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.setLIntegral_paramSet_expproof · cited by 1
- NumberField.mixedEmbedding.convexBodySum_volumeproof · cited by 1
- MeasureTheory.MemLp.eLpNorm_indicator_le_of_measproof · cited by 1
- MeasureTheory.tendsto_Lp_finite_of_tendsto_ae_of_measproof · cited by 1
- MeasureTheory.eLpNorm_indicator_le_of_boundproof · cited by 1
- StieltjesFunction.ae_hasDerivAtproof · cited by 1