Theorems · Theorem · measure theory
MeasureTheory.compl_mem_measurableCylinders
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → MeasurableSpace (α i)] {s : Set ((i : ι) → α i)},
s ∈ MeasureTheory.measurableCylinders α → sᶜ ∈ MeasureTheory.measurableCylinders α- Cited by
- 4 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Finsetproof · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetproof · cited by 3,075
- Compl.complstatement and proof · cited by 2,925
- MeasurableSet.complproof · cited by 172
- MeasureTheory.cylinderproof · cited by 49
- MeasureTheory.measurableCylindersstatement and proof · cited by 48
- MeasureTheory.mem_measurableCylindersproof · cited by 13
- MeasureTheory.compl_cylinderproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.union_mem_measurableCylindersproof · cited by 2
- MeasureTheory.isSetAlgebra_measurableCylindersproof · cited by 1
- MeasureTheory.sdiff_mem_measurableCylindersproof · cited by 1
- MeasureTheory.univ_mem_measurableCylindersproof · cited by 0