Theorems · Theorem · real analysis
ENNReal.inv_le_inv
∀ {a b : ENNReal}, a⁻¹ ≤ b⁻¹ ↔ b ≤ a- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 138 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
- StrictAnti.le_iff_geproof · cited by 16
- ENNReal.inv_strictAntiproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- ENNReal.div_le_divproof · cited by 17
- OrderIso.invENNRealproof · cited by 6
- ENNReal.le_inv_iff_le_invproof · cited by 3
- ENNReal.le_mul_of_forall_ltproof · cited by 2
- spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadiusproof · cited by 1
- ENNReal.inv_le_iff_inv_leproof · cited by 1
- MeasureTheory.OuterMeasure.IsMetric.borel_le_caratheodoryproof · cited by 1