Theorems · Theorem · measure theory
Measurable.fun_comp
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {x : MeasurableSpace α} {x_1 : MeasurableSpace β}
{x_2 : MeasurableSpace γ} {g : β → γ} {f : α → β}, Measurable g → Measurable f → Measurable fun x => g (f x)Eta-expanded form of Measurable.comp
- Cited by
- 95 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 14 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- Measurablestatement · cited by 1,499
- Measurable.compproof · cited by 234
Cited by95
Results whose statement or proof uses this declaration.
- Measurable.tsumproof · cited by 8
- Measurable.lintegral_kernelproof · cited by 6
- Measurable.complex_ofRealproof · cited by 5
- Measurable.lintegral_kernel_prod_rightproof · cited by 5
- Measure.ext_of_integral_prod_mul_prod_boundedContinuousFunctionproof · cited by 4
- indepFun_pi_of_prod_bcfproof · cited by 3
- MeasureTheory.SimpleFunc.memLp_approxOnproof · cited by 3
- ProbabilityTheory.Kernel.traj_map_updateFinsetproof · cited by 3
- Complex.measurable_argproof · cited by 3
- Measurable.lintegral_kernel_prod_leftproof · cited by 3
- ProbabilityTheory.avgRisk_countable'proof · cited by 3
- ProbabilityTheory.bayesRisk_le_iInf'proof · cited by 3