Theorems · Theorem · measure theory
Measurable.fun_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 fun i => f i + g i- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MeasurableAdd₂statement · cited by 155
- Measurable.addproof · cited by 25
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_conv_addMonoidHomproof · cited by 3
- MeasureTheory.Measure.conv_diracproof · cited by 2
- MeasureTheory.Measure.dirac_convproof · cited by 1
- MeasureTheory.measurable_lconvolutionproof · cited by 1
- MeasureTheory.integrable_conv_iffproof · cited by 1
- Measurable.add'proof · cited by 0
- MeasureTheory.Measure.conv_commproof · cited by 0
- MeasureTheory.Measure.add_convproof · cited by 0
- MeasureTheory.Measure.conv_addproof · cited by 0
- MeasureTheory.Measure.conv_assocproof · cited by 0
- measurable_of_re_improof · cited by 0