Theorems · Theorem · measure theory
Measurable.sub
∀ {G : Type u_2} {α : Type u_3} [inst : MeasurableSpace G] [inst_1 : Sub G] {m : MeasurableSpace α} {f g : α → G}
[MeasurableSub₂ G], Measurable f → Measurable g → Measurable (f - g)- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- Measurablestatement and proof · cited by 1,499
- Measurable.compproof · cited by 234
- Measurable.prodMkproof · cited by 115
- MeasurableSub₂statement and proof · cited by 24
- MeasurableSub₂.measurable_subproof · cited by 7
Cited by14
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_add_leftproof · cited by 21
- ProbabilityTheory.Kernel.measurable_rnDerivproof · cited by 11
- Measurable.fun_subproof · cited by 8
- ProbabilityTheory.Kernel.iIndepFun.indepFun_sub_leftproof · cited by 3
- Measurable.measure_of_isPiSystemproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.indepFun_sub_left₀proof · cited by 2
- ProbabilityTheory.Kernel.measurable_kernel_prodMk_left_of_finiteproof · cited by 1
- BddAbove.convolutionExistsAtproof · cited by 1
- ProbabilityTheory.Kernel.withDensity_sub_add_cancelproof · cited by 1
- NumberField.mixedEmbedding.measurableSet_fundamentalConeproof · cited by 1
- MeasureTheory.lintegral_iInf_aeproof · cited by 1
- MeasureTheory.Measure.withDensity_subproof · cited by 0