Theorems · Theorem · measure theory
Real.aemeasurable_of_aemeasurable_exp
∀ {α : Type u_1} {x : MeasurableSpace α} {f : α → ℝ} {μ : MeasureTheory.Measure α},
AEMeasurable (fun x => Real.exp (f x)) μ → AEMeasurable f μ- Cited by
- 11 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Real.logproof · cited by 939
- Real.expstatement and proof · cited by 871
- AEMeasurablestatement and proof · cited by 840
- Measurable.comp_aemeasurableproof · cited by 99
- Real.log_expproof · cited by 33
- Real.measurable_logproof · cited by 5
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.tilted_of_not_aemeasurableproof · cited by 4
- Real.aemeasurable_of_aemeasurable_exp_mulproof · cited by 3
- MeasureTheory.setIntegral_tilted'proof · cited by 2
- MeasureTheory.setLIntegral_tilted'proof · cited by 2
- MeasureTheory.integrable_tilted_iffproof · cited by 1
- MeasureTheory.setIntegral_tiltedproof · cited by 1
- ProbabilityTheory.Kernel.HasSubgaussianMGF.aestronglyMeasurableproof · cited by 1
- ProbabilityTheory.HasSubgaussianMGF.aestronglyMeasurableproof · cited by 1
- MeasureTheory.setLIntegral_tiltedproof · cited by 0
- ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_aestronglyMeasurableproof · cited by 0
- MeasureTheory.log_rnDeriv_tilted_left_selfproof · cited by 0