Theorems · Theorem · measure theory
Measurable.add
∀ {M : Type u_2} {α : Type u_3} [inst : MeasurableSpace M] [inst_1 : Add M] {m : MeasurableSpace α} {f g : α → M}
[MeasurableAdd₂ M], Measurable f → Measurable g → Measurable (f + g)- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 25 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
- MeasurableAdd₂statement and proof · cited by 155
- Measurable.prodMkproof · cited by 115
- MeasurableAdd₂.measurable_addproof · cited by 8
Cited by25
Results whose statement or proof uses this declaration.
- Measurable.fun_addproof · cited by 11
- MeasureTheory.Measure.rnDeriv_add'proof · cited by 8
- MeasureTheory.quasiMeasurePreserving_negproof · cited by 7
- Finset.measurable_sumproof · cited by 7
- Finset.measurable_fun_sumproof · cited by 6
- Measurable.lintegral_kernel_prod_rightproof · cited by 5
- Measurable.lintegral_prod_right'proof · cited by 4
- ProbabilityTheory.Kernel.iIndepFun.indepFun_add_leftproof · cited by 3
- Complex.measurable_logproof · cited by 2
- MeasureTheory.Measure.singularPart_addproof · cited by 2
- MeasureTheory.measurePreserving_prod_add_rightproof · cited by 2
- List.measurable_sumproof · cited by 2