Theorems · Theorem · real analysis
ENNReal.div_pos
∀ {a b : ENNReal}, a ≠ 0 → b ≠ ⊤ → 0 < a / b- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- ENNReal.inv_ne_zeroproof · cited by 9
- ENNReal.mul_posproof · cited by 7
Cited by9
Results whose statement or proof uses this declaration.
- ENNReal.half_posproof · cited by 13
- Ergodic.of_mem_extremePoints_measure_univ_eqproof · cited by 2
- MeasureTheory.tendsto_measure_symmDiff_preimage_nhds_zeroproof · cited by 2
- MeasureTheory.laverage_union_mem_openSegmentproof · cited by 1
- eHolderNorm_eq_zeroproof · cited by 1
- MeasureTheory.levyProkhorovEDist_triangleproof · cited by 1
- eventually_riemannianEDist_ltproof · cited by 0
- ENNReal.exists_pos_mul_ltproof · cited by 0