Theorems · Inductive type · measure theory
MeasurableSup
(M : Type u_1) → [MeasurableSpace M] → [Max M] → Prop
We say that a type has MeasurableSup if (c ⊔ ·) and (· ⊔ c) are measurable functions.
For a typeclass assuming measurability of uncurry (· ⊔ ·) see MeasurableSup₂.
- Defined in
- Mathlib.MeasureTheory.Order.Lattice
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- MeasurableSpaceMax
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
Cited by20
Results whose statement or proof uses this declaration.
- MeasurableSup.measurable_sup_conststatement and proof · cited by 6
- AEMeasurable.sup_conststatement and proof · cited by 4
- MeasurableSup.measurable_const_supstatement and proof · cited by 2
- measurable_leOnePartstatement and proof · cited by 1
- measurable_negPartstatement and proof · cited by 1
- measurable_oneLePartstatement and proof · cited by 1
- measurable_posPartstatement and proof · cited by 1
- Measurable.leOnePartstatement and proof · cited by 0
- AEMeasurable.const_supstatement and proof · cited by 0
- Measurable.const_supstatement and proof · cited by 0
- Measurable.negPartstatement and proof · cited by 0
- Measurable.oneLePartstatement and proof · cited by 0