Theorems · Theorem · measure theory
Measurable.complex_ofReal
∀ {α : Type u_1} {m : MeasurableSpace α} {f : α → ℝ}, Measurable f → Measurable fun x => ↑(f x)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Complexstatement · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- Measurablestatement and proof · cited by 1,499
- Continuous.measurableproof · cited by 181
- Complex.continuous_ofRealproof · cited by 107
- Measurable.fun_compproof · cited by 95
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.charFun_map_eq_charFunDual_smulproof · cited by 3
- MeasureTheory.stronglyMeasurable_charFunproof · cited by 2
- ProbabilityTheory.charFun_stdGaussianproof · cited by 2
- MeasureTheory.charFunDual_eq_charFun_map_oneproof · cited by 2
- AEMeasurable.complex_ofRealproof · cited by 0