Theorems · Theorem · real analysis
ENNReal.lt_add_right
∀ {a b : ENNReal}, a ≠ ⊤ → b ≠ 0 → a < a + b- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- add_zeroproof · cited by 2,707
- pos_iff_ne_zeroproof · cited by 180
- ENNReal.add_lt_add_iff_leftproof · cited by 2
Cited by27
Results whose statement or proof uses this declaration.
- Metric.infEDist_closureproof · cited by 8
- MeasureTheory.hasSum_integral_measureproof · cited by 4
- Set.exists_isOpen_lt_addproof · cited by 4
- MeasureTheory.OuterMeasure.exists_measurable_superset_eq_trimproof · cited by 4
- Metric.infEDist_le_infEDist_add_hausdorffEDistproof · cited by 4
- IsCompact.exists_isOpen_lt_addproof · cited by 3
- ProbabilityTheory.Kernel.tendsto_integral_density_of_monotoneproof · cited by 2
- StieltjesFunction.outer_Iocproof · cited by 2
- ENNReal.hasBasis_nhds_of_ne_top'proof · cited by 2
- MeasureTheory.MemLp.eLpNormEssSup_indicator_norm_ge_eq_zeroproof · cited by 1
- MeasureTheory.Content.contentRegular_exists_compactproof · cited by 1
- MeasureTheory.Measure.InnerRegularWRT.weaklyRegular_of_finiteproof · cited by 1