Theorems · Theorem · real analysis
ENNReal.coe_toNNReal
∀ {a : ENNReal}, a ≠ ⊤ → ↑a.toNNReal = a- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- ENNReal.toNNRealstatement and proof · cited by 165
Cited by53
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_toRealproof · cited by 65
- MeasureTheory.FiniteMeasure.ennreal_coeFn_eq_coeFn_toMeasureproof · cited by 11
- MemHolder.holderWithproof · cited by 7
- MeasureTheory.lintegral_eq_nnrealproof · cited by 6
- MemHolder.coe_nnHolderNorm_eq_eHolderNormproof · cited by 5
- MeasureTheory.FiniteMeasure.testAgainstNN_coe_eqproof · cited by 5
- MeasureTheory.coe_toNNReal_ae_eqproof · cited by 4
- ENNReal.toNNReal_le_toNNRealproof · cited by 4
- MeasureTheory.Lp.enorm_defproof · cited by 4
- MeasureTheory.SigmaFinite.withDensity_of_ne_topproof · cited by 4
- MeasureTheory.coe_measureUnivNNRealproof · cited by 3
- contentRegular_rieszContentproof · cited by 3