Theorems · Theorem · measure theory
Measurable.pow_const
∀ {β : Type u_2} {γ : Type u_3} {α : Type u_4} [inst : MeasurableSpace β] [inst_1 : MeasurableSpace γ]
[inst_2 : Pow β γ] [MeasurablePow β γ] {m : MeasurableSpace α} {f : α → β},
Measurable f → ∀ (c : γ), Measurable fun x => f x ^ c- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 73 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.
- MeasurableSpacestatement and proof · cited by 13,106
- Measurablestatement and proof · cited by 1,499
- measurable_constproof · cited by 156
- MeasurablePowstatement and proof · cited by 9
- Measurable.powproof · cited by 3
Cited by26
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.tendsto_approxOn_Lp_eLpNormproof · cited by 3
- ProbabilityTheory.measurable_gammaPDFRealproof · cited by 3
- ProbabilityTheory.measurable_uncurry_gaussianPDFRealproof · cited by 3
- integrable_rpow_neg_one_add_norm_sqproof · cited by 2
- ProbabilityTheory.measurable_cauchyPDFRealproof · cited by 2
- Polynomial.Chebyshev.integrable_measureTproof · cited by 2
- ProbabilityTheory.measurable_paretoPDFRealproof · cited by 2
- hasSum_two_pi_I_cauchyPowerSeries_integralproof · cited by 2
- ProbabilityTheory.moment_truncation_eq_intervalIntegral_of_nonnegproof · cited by 2
- ProbabilityTheory.IdentDistrib.sqproof · cited by 1
- ProbabilityTheory.measurable_betaPDFRealproof · cited by 1
- MeasureTheory.ae_bdd_liminf_atTop_rpow_of_eLpNorm_bddproof · cited by 1