Theorems · Theorem · real analysis
ENNReal.toReal_natCast
∀ (n : ℕ), (↑n).toReal = ↑n
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 118 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 and proof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- ENNReal.toRealstatement and proof · cited by 859
- Nat.cast_nonnegproof · cited by 109
- ENNReal.toReal_ofRealproof · cited by 82
- ENNReal.ofReal_natCastproof · cited by 14
Cited by15
Results whose statement or proof uses this declaration.
- ENNReal.toReal_ofNatproof · cited by 23
- MeasureTheory.MemLp.integrable_norm_pow'proof · cited by 3
- hasSum_sq_fourierCoeffproof · cited by 2
- Besicovitch.card_le_of_separatedproof · cited by 2
- MeasureTheory.Measure.toSphere_real_apply_univproof · cited by 1
- PiLp.norm_eq_of_natproof · cited by 1
- MeasureTheory.MemLp.integrable_norm_powproof · cited by 1
- ENNReal.toReal_enatCardproof · cited by 1
- BoxIntegral.unitPartition.integralSum_eq_tsum_divproof · cited by 1
- WithLp.prod_norm_eq_of_natproof · cited by 1
- OrthogonalFamily.summable_of_lpproof · cited by 1
- MeasureTheory.MemLp.integrable_enorm_powproof · cited by 0