Theorems · Theorem · measure theory
MeasureTheory.tilted_comm
∀ {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}, MeasureTheory.Integrable (fun x => Real.exp (g x)) μ → (μ.tilted f).tilted g = (μ.tilted g).tilted f- Defined in
- Mathlib.MeasureTheory.Measure.Tilted
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 268 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- add_commproof · cited by 1,535
- MeasureTheory.Integrablestatement and proof · cited by 1,367
- Real.expstatement and proof · cited by 871
- MeasureTheory.Measure.tiltedstatement and proof · cited by 58
- MeasureTheory.tilted_tiltedproof · cited by 2
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