Theorems · Theorem · measure theory
MeasureTheory.tilted_tilted
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → ℝ},
MeasureTheory.Integrable (fun x => Real.exp (f x)) μ → ∀ (g : α → ℝ), (μ.tilted f).tilted g = μ.tilted (f + g)- Defined in
- Mathlib.MeasureTheory.Measure.Tilted
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 267 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- mul_oneproof · cited by 3,885
- MeasurableSetproof · cited by 3,075
- one_mulproof · cited by 2,841
- MeasureTheory.integralproof · cited by 1,779
- MeasureTheory.Measure.restrictproof · cited by 1,646
- LT.lt.ne'proof · cited by 1,417
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.tilted_neg_same'proof · cited by 1
- MeasureTheory.tilted_commproof · cited by 0