Theorems · Theorem · real analysis
ENNReal.toReal_inv
∀ (a : ENNReal), a⁻¹.toReal = a.toReal⁻¹
- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 130 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.
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- NNReal.toRealproof · cited by 1,260
- ENNReal.toRealstatement · cited by 859
- ENNReal.toNNRealproof · cited by 165
- ENNReal.toNNReal_invproof · cited by 3
Cited by31
Results whose statement or proof uses this declaration.
- ENNReal.toReal_divproof · cited by 19
- MeasureTheory.average_eqproof · cited by 10
- MeasureTheory.memLp_norm_rpow_iffproof · cited by 4
- MeasureTheory.eLpNorm_le_eLpNorm_mul_eLpNorm_of_nnnormproof · cited by 4
- MeasureTheory.MemLp.of_measure_le_smulproof · cited by 3
- MeasureTheory.llr_smul_rightproof · cited by 3
- ProbabilityTheory.condVar_bot'proof · cited by 2
- MeasureTheory.tilted_const'proof · cited by 2
- MeasureTheory.eLpNorm_smul_measure_of_ne_top'proof · cited by 2
- ENNReal.HolderTriple.toReal_iffproof · cited by 2
- ProbabilityTheory.Fernique.logRatio_nonnegproof · cited by 2
- MeasureTheory.neg_llrproof · cited by 2