Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.re
∀ {α : Type u_1} {𝕜 : Type u_2} [inst : RCLike 𝕜] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → 𝕜},
MeasureTheory.AEStronglyMeasurable f μ → MeasureTheory.AEStronglyMeasurable (fun x => RCLike.re (f x)) μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement · cited by 319
- Continuous.comp_aestronglyMeasurableproof · cited by 77
- RCLike.continuous_reproof · cited by 10
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