Theorems · Theorem · real analysis
ENNReal.toReal_ofNat
∀ (n : ℕ) [inst : n.AtLeastTwo], (OfNat.ofNat n).toReal = OfNat.ofNat n
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
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.
- Realstatement · cited by 25,697
- ENNRealstatement · cited by 9,879
- ENNReal.toRealstatement · cited by 859
- Nat.AtLeastTwostatement and proof · cited by 405
- ENNReal.toReal_natCastproof · cited by 15
Cited by23
Results whose statement or proof uses this declaration.
- MeasureTheory.MemLp.integrable_sqproof · cited by 5
- ProbabilityTheory.IsGaussian.memLp_idproof · cited by 4
- ProbabilityTheory.evariance_lt_topproof · cited by 3
- hasSum_sq_fourierCoeffproof · cited by 2
- ProbabilityTheory.evariance_eq_topproof · cited by 2
- ProbabilityTheory.Fernique.logRatio_nonnegproof · cited by 2
- NumberField.exists_ne_zero_mem_ideal_of_norm_le_mul_sqrt_discrproof · cited by 2
- Besicovitch.card_le_of_separatedproof · cited by 2
- PiLp.edist_eq_of_L2proof · cited by 1
- NumberField.mixedEmbedding.covolume_idealLatticeproof · cited by 1
- NumberField.Ideal.tendsto_norm_le_and_mk_eq_div_atTopproof · cited by 1
- lp.summable_innerproof · cited by 1