Theorems · Theorem · real analysis
ENNReal.half_pos
∀ {a : ENNReal}, a ≠ 0 → 0 < a / 2- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- ENNReal.ofNat_ne_topproof · cited by 29
- ENNReal.div_posproof · cited by 9
Cited by13
Results whose statement or proof uses this declaration.
- continuousOn_prod_of_subset_closure_continuousOn_lipschitzOnWithproof · cited by 3
- MeasureTheory.exists_measure_symmDiff_lt_of_generateFrom_isSetRingproof · cited by 2
- MeasurableSet.exists_isOpen_symmDiff_ltproof · cited by 1
- AnalyticOnNhd.eqOn_zero_of_preconnected_of_eventuallyEq_zero_auxproof · cited by 1
- MeasureTheory.Measure.InnerRegularWRT.weaklyRegular_of_finiteproof · cited by 1
- MeasureTheory.exists_upperSemicontinuous_le_lintegral_leproof · cited by 1
- MeasureTheory.SimpleFunc.exists_le_lowerSemicontinuous_lintegral_geproof · cited by 1
- VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrableproof · cited by 1
- MeasureTheory.SimpleFunc.exists_upperSemicontinuous_le_lintegral_leproof · cited by 1
- MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zeroproof · cited by 1
- MeasureTheory.exists_lt_lowerSemicontinuous_lintegral_geproof · cited by 1
- MeasureTheory.exists_lt_lowerSemicontinuous_lintegral_ge_of_aemeasurableproof · cited by 1