Theorems · Theorem · measure theory
MeasureTheory.integrable_const
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup β]
[MeasureTheory.IsFiniteMeasure μ] (c : β), MeasureTheory.Integrable (fun x => c) μ- Cited by
- 73 results in Mathlib
- Foundations
- Depth 202 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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Integrablestatement · cited by 1,367
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.integrable_const_iffproof · cited by 2
Cited by73
Results whose statement or proof uses this declaration.
- ProbabilityTheory.integral_id_multivariateGaussianproof · cited by 5
- MeasureTheory.condExp_constproof · cited by 5
- InformationTheory.integrable_klFun_rnDeriv_iffproof · cited by 5
- indicator_indepFun_pi_of_prod_bcfproof · cited by 4
- ProbabilityTheory.IsGaussian.memLp_idproof · cited by 4
- InformationTheory.toReal_klDiv_smul_right_eq_smul_leftproof · cited by 3
- ProbabilityTheory.covariance_add_const_leftproof · cited by 3
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2
- MeasureTheory.charFun_convproof · cited by 2
- MeasureTheory.integral_sub_averageproof · cited by 2
- ProbabilityTheory.variance_add_constproof · cited by 2
- ProbabilityTheory.condDistrib_ae_eq_condExpproof · cited by 2