Theorems · Theorem · real analysis
ENNReal.toReal_pow
∀ (a : ENNReal) (n : ℕ), (a ^ n).toReal = a.toReal ^ n
- Defined in
- Mathlib.Data.ENNReal.Real
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 123 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
- ENNReal.toRealstatement · cited by 859
- MonoidWithZeroHom.toMonoidHomproof · cited by 39
- MonoidHom.map_powproof · cited by 30
- ENNReal.toRealHomproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- ProbabilityTheory.variance_eq_integralproof · cited by 10
- NumberField.exists_ne_zero_mem_ideal_of_norm_le_mul_sqrt_discrproof · cited by 2
- Besicovitch.card_le_of_separatedproof · cited by 2
- NumberField.mixedEmbedding.covolume_idealLatticeproof · cited by 1
- MeasureTheory.integrable_fun_norm_addHaarproof · cited by 1
- NumberField.Ideal.tendsto_norm_le_and_mk_eq_div_atTopproof · cited by 1
- ProbabilityTheory.setBernoulli_real_singletonproof · cited by 1
- BoxIntegral.unitPartition.integralSum_eq_tsum_divproof · cited by 1
- NumberField.mixedEmbedding.covolume_integerLatticeproof · cited by 0