Theorems · Theorem · real analysis
ENNReal.ofReal_le_ofReal_iff
∀ {p q : ℝ}, 0 ≤ q → (ENNReal.ofReal p ≤ ENNReal.ofReal q ↔ p ≤ q)- Defined in
- Mathlib.Data.ENNReal.Real
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 110 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.
- Realstatement and proof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.ofRealstatement and proof · cited by 863
- Real.toNNRealproof · cited by 267
- ENNReal.coe_le_coeproof · cited by 73
- Real.toNNReal_le_toNNReal_iffproof · cited by 5
Cited by20
Results whose statement or proof uses this declaration.
- Set.Nontrivial.le_infsep_iffproof · cited by 6
- Metric.hausdorffEDist_ne_top_of_nonempty_of_boundedproof · cited by 4
- enorm_le_iff_norm_leproof · cited by 4
- Metric.cthickening_singletonproof · cited by 4
- ContinuousLinearMap.opENorm_le_boundproof · cited by 3
- BoundedVariationOn.dist_leproof · cited by 2
- edist_le_ofRealproof · cited by 2
- IsCompact.cthickening_eq_biUnion_closedBallproof · cited by 2
- MeasureTheory.exists_measure_iUnion_gt_of_isCompact_closureproof · cited by 1
- MeasureTheory.tendsto_Lp_finite_of_tendsto_ae_of_measproof · cited by 1
- HasCompactSupport.exist_eLpNorm_sub_le_of_continuousproof · cited by 1
- MeasureTheory.MemLp.exists_boundedContinuous_integral_rpow_sub_leproof · cited by 1