Theorems · Theorem · measure theory
Measurable.div
∀ {G : Type u_2} {α : Type u_3} [inst : MeasurableSpace G] [inst_1 : Div G] {m : MeasurableSpace α} {f g : α → G}
[MeasurableDiv₂ G], Measurable f → Measurable g → Measurable (f / g)- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 9 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
- MeasurableDiv₂statement and proof · cited by 24
- MeasurableDiv₂.measurable_divproof · cited by 5
Cited by9
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.measurable_rnDerivproof · cited by 11
- Measurable.fun_divproof · cited by 4
- ProbabilityTheory.Kernel.iIndepFun.indepFun_div_leftproof · cited by 3
- ProbabilityTheory.Kernel.iIndepFun.indepFun_div_left₀proof · cited by 2
- MeasureTheory.measure_lintegral_div_measureproof · cited by 1
- MeasureTheory.measure_lintegral_sub_measureproof · cited by 1
- MeasureTheory.Adapted.divproof · cited by 0
- MeasureTheory.IsProgressive.divproof · cited by 0