Theorems · Theorem · measure theory
AEMeasurable.div_const
∀ {G : Type u_2} {α : Type u_3} [inst : MeasurableSpace G] [inst_1 : Div G] {m : MeasurableSpace α} {f : α → G}
{μ : MeasureTheory.Measure α} [MeasurableDiv G], AEMeasurable f μ → ∀ (c : G), AEMeasurable (fun x => f x / c) μ- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 10 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.
Cites6
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AEMeasurablestatement and proof · cited by 840
- Measurable.comp_aemeasurableproof · cited by 99
- MeasurableDivstatement and proof · cited by 8
- MeasurableDiv.measurable_div_constproof · cited by 3
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.rnDeriv_tilted_leftproof · cited by 2
- MeasureTheory.setIntegral_tilted'proof · cited by 2
- MeasureTheory.setLIntegral_tilted'proof · cited by 2
- MeasureTheory.integrable_tilted_iffproof · cited by 1
- MeasureTheory.rnDeriv_tilted_rightproof · cited by 1
- MeasureTheory.setIntegral_tiltedproof · cited by 1
- ProbabilityTheory.gaussianReal_div_constproof · cited by 1
- MeasureTheory.lintegral_rpow_eq_lintegral_meas_le_mulproof · cited by 1
- MeasureTheory.setLIntegral_tiltedproof · cited by 0
- MeasureTheory.absolutelyContinuous_tiltedproof · cited by 0