Theorems · Theorem · measure theory
Measurable.ennreal_ofReal
∀ {α : Type u_1} {mα : MeasurableSpace α} {f : α → ℝ}, Measurable f → Measurable fun x => ENNReal.ofReal (f x)- Cited by
- 19 results in Mathlib
- Foundations
- Depth 131 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
- ENNRealstatement · cited by 9,879
- Measurablestatement and proof · cited by 1,499
- ENNReal.ofRealstatement · cited by 863
- Measurable.compproof · cited by 234
- Continuous.measurableproof · cited by 181
- ENNReal.continuous_ofRealproof · cited by 16
Cited by19
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.measurable_rnDerivproof · cited by 11
- ProbabilityTheory.Kernel.measure_mutuallySingularSetSliceproof · cited by 4
- ProbabilityTheory.measurable_uncurry_gaussianPDFproof · cited by 3
- ProbabilityTheory.integrable_stieltjesOfMeasurableRatproof · cited by 2
- ProbabilityTheory.Kernel.withDensity_one_sub_rnDerivAuxproof · cited by 2
- ProbabilityTheory.setLIntegral_stieltjesOfMeasurableRatproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.volume_normLeOneproof · cited by 2
- NumberField.mixedEmbedding.volume_eq_two_pi_pow_mul_integralproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.setLIntegral_paramSet_expproof · cited by 1
- ProbabilityTheory.measurable_cauchyPDFproof · cited by 1