Theorems · Theorem · measure theory
Measurable.sup
∀ {M : Type u_1} [inst : MeasurableSpace M] {α : Type u_2} {m : MeasurableSpace α} {f g : α → M} [inst_1 : Max M]
[MeasurableSup₂ M], Measurable f → Measurable g → Measurable (f ⊔ g)- Defined in
- Mathlib.MeasureTheory.Order.Lattice
- Cited by
- 6 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
- MeasurableSup₂statement and proof · cited by 16
- MeasurableSup₂.measurable_supproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Measurable.biSupproof · cited by 3
- measurable_mabsproof · cited by 2
- measurable_absproof · cited by 2
- Finset.measurable_sup'proof · cited by 1
- Measurable.fun_supproof · cited by 0
- Measurable.sup'proof · cited by 0