Theorems · Theorem · measure theory
MeasureTheory.Integrable.re
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {𝕜 : Type u_8} [inst : RCLike 𝕜] {f : α → 𝕜},
MeasureTheory.Integrable f μ → MeasureTheory.Integrable (fun x => RCLike.re (f x)) μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.Integrablestatement and proof · cited by 1,367
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement · cited by 319
- MeasureTheory.memLp_one_iff_integrableproof · cited by 73
- MeasureTheory.MemLp.reproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- integral_coe_re_add_coe_improof · cited by 1