Theorems · Theorem · measure theory
MeasurableSpace.measurableSet_generateFrom_memPartition_iff
∀ {α : Type u_1} (t : ℕ → Set α) (n : ℕ) (s : Set α), MeasurableSet s ↔ ∃ S, ↑S ⊆ memPartition t n ∧ s = ⋃₀ ↑S- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites39
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
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Fintypeproof · cited by 7,736
- Set.Elemproof · cited by 7,166
- MeasurableSetstatement and proof · cited by 3,075
- Compl.complproof · cited by 2,925
- Set.iUnionproof · cited by 2,483
- Set.sUnionstatement and proof · cited by 392
- Set.Finite.subsetproof · cited by 285
- Set.toFinsetproof · cited by 217
- MeasurableSpace.generateFromstatement · cited by 172
Cited by1
Results whose statement or proof uses this declaration.
- MeasurableSpace.measurableSet_generateFrom_countablePartition_iffproof · cited by 1