Theorems · Theorem · measure theory
MeasureTheory.tilted_absolutelyContinuous
∀ {α : Type u_1} {mα : MeasurableSpace α} (μ : MeasureTheory.Measure α) (f : α → ℝ), (μ.tilted f).AbsolutelyContinuous μ- Defined in
- Mathlib.MeasureTheory.Measure.Tilted
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 251 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
- MeasureTheory.integralproof · cited by 1,779
- Real.expproof · cited by 871
- ENNReal.ofRealproof · cited by 863
- MeasureTheory.Measure.AbsolutelyContinuousstatement · cited by 325
- MeasureTheory.Measure.tiltedstatement · cited by 58
- MeasureTheory.withDensity_absolutelyContinuousproof · cited by 40
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.memLp_tilted_mulproof · cited by 1
- ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zeroproof · cited by 1