Theorems · Theorem · real analysis
ENNReal.inv_le_iff_le_mul
∀ {a b : ENNReal}, (b = ⊤ → a ≠ 0) → (a = ⊤ → b ≠ 0) → (a⁻¹ ≤ b ↔ 1 ≤ a * b)- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 137 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.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- mul_commproof · cited by 2,262
- one_divproof · cited by 624
- ENNReal.div_le_iff_le_mulproof · cited by 10
- not_or_of_impproof · cited by 8
- or_not_of_impproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.TendstoInMeasure.exists_seq_tendsto_aeproof · cited by 5