Theorems · Theorem · real analysis
ENNReal.mul_le_iff_le_inv
∀ {a b r : ENNReal}, r ≠ 0 → r ≠ ⊤ → (r * a ≤ b ↔ a ≤ r⁻¹ * b)- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- ENNReal.mul_inv_cancelproof · cited by 37
- ENNReal.mul_le_mul_iff_rightproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Dilation.antilipschitzproof · cited by 6
- spectrum.spectralRadius_le_liminf_pow_nnnorm_pow_one_divproof · cited by 1