Theorems · Theorem · measure theory
Measurable.coe_nnreal_real
∀ {α : Type u_1} {mα : MeasurableSpace α} {f : α → NNReal}, Measurable f → Measurable fun x => ↑(f x)- Cited by
- 8 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- NNRealstatement and proof · cited by 4,310
- Measurablestatement and proof · cited by 1,499
- NNReal.toRealstatement · cited by 1,260
- Measurable.compproof · cited by 234
- measurable_coe_nnreal_realproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- integral_withDensity_eq_integral_smulproof · cited by 4
- ProbabilityTheory.measurable_uncurry_gaussianPDFRealproof · cited by 3
- MeasureTheory.exists_upperSemicontinuous_le_integral_leproof · cited by 1
- MeasureTheory.MemLp.integral_indicator_norm_ge_leproof · cited by 1
- measurable_coe_nnreal_real_iffproof · cited by 1
- aestronglyMeasurable_withDensity_iffproof · cited by 1
- intervalIntegral.integrableOn_deriv_right_of_nonnegproof · cited by 1
- aemeasurable_withDensity_iffproof · cited by 0