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Theorems · Theorem · real analysis

ENNReal.ofReal_add

∀ {p q : ℝ}, 0 ≤ p → 0 ≤ q → ENNReal.ofReal (p + q) = ENNReal.ofReal p + ENNReal.ofReal q
Defined in
Mathlib.Data.ENNReal.Real
Cited by
26 results in Mathlib
Foundations
Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.ofReal_sub · cited by 5ENNReal.ofReal_subMetric.thickening_thickening_subset · cited by 4Metric.thickening_thicken…infEDist_thickening · cited by 3infEDist_thickeningStieltjesFunction.measure_Ioo · cited by 3StieltjesFunction.measure…MeasureTheory.UnifIntegrable.add · cited by 2UnifIntegrable.addHasConstantSpeedOnWith.union · cited by 2HasConstantSpeedOnWith.un…MeasureTheory.MemLp.exist_eLpNorm_sub_le · cited by 2MemLp.exist_eLpNorm_sub_lecthickening_thickening · cited by 2cthickening_thickeningIsCompact.uniform_oscillationWithin · cited by 2IsCompact.uniform_oscilla…MeasureTheory.tendsto_lintegral_norm_of_dominated_convergence · cited by 2MeasureTheory.tendsto_lin…Real.HolderTriple.ennrealOfReal · cited by 2HolderTriple.ennrealOfRealMeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1 · cited by 1MeasureTheory.lintegral_a…MeasureTheory.Measure.MeasureDense.of_generateFrom_isSetAlgebra_sigmaFinite · cited by 1MeasureDense.of_generateF…MeasureTheory.unifIntegrable_of' · cited by 1MeasureTheory.unifIntegra…Metric.cthickening_cthickening_subset · cited by 1Metric.cthickening_cthick…Real · cited by 25697RealENNReal · cited by 9879ENNRealNNReal · cited by 4310NNRealENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealENNReal.ofReal · cited by 863ENNReal.ofRealReal.toNNReal · cited by 267Real.toNNRealENNReal.coe_inj · cited by 26ENNReal.coe_injENNReal.coe_add · cited by 11ENNReal.coe_addReal.toNNReal_add · cited by 2Real.toNNReal_addENNReal.ofReal_addCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by26

Results whose statement or proof uses this declaration.