Theorems · Theorem · real analysis
ENNReal.mul_pos
∀ {a b : ENNReal}, a ≠ 0 → b ≠ 0 → 0 < a * b- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 123 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
- pos_iff_ne_zeroproof · cited by 180
- ENNReal.mul_pos_iffproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_eq_zero_iff'proof · cited by 16
- ENNReal.div_posproof · cited by 9
- AntilipschitzWith.comap_uniformity_leproof · cited by 2
- NumberField.mixedEmbedding.minkowskiBound_posproof · cited by 1
- MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zeroproof · cited by 1
- MeasureTheory.Measure.exists_null_set_measure_lt_of_disjointproof · cited by 1
- ProbabilityTheory.cond_pos_of_inter_ne_zeroproof · cited by 0