Theorems · Definition · measure theory
MeasurableSpace.natGeneratingSequence
(α : Type u_3) → [inst : MeasurableSpace α] → [MeasurableSpace.CountablyGenerated α] → ℕ → Set α
A countable sequence of sets generating the measurable space.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- Set.enumerateCountableproof · cited by 15
- MeasurableSpace.countable_countableGeneratingSetproof · cited by 13
Cited by13
Results whose statement or proof uses this declaration.
- MeasurableSpace.countablyGeneratedAtomproof · cited by 7
- MeasurableSpace.mapNatBoolproof · cited by 5
- MeasurableSpace.generateFrom_natGeneratingSequencestatement · cited by 3
- MeasurableSpace.measurableSet_natGeneratingSequencestatement · cited by 3
- MeasurableSpace.injective_mapNatBoolproof · cited by 2
- MeasurableSpace.measurable_mapNatBoolproof · cited by 2
- MeasurableSpace.mem_countablyGeneratedAtom_natGeneratingSequencestatement · cited by 2
- MeasurableSpace.measurableAtom_eq_countablyGeneratedAtom_natGeneratingSequencestatement and proof · cited by 1
- MeasurableSpace.measurableEquiv_nat_bool_of_countablyGeneratedproof · cited by 1
- MeasurableSpace.exists_eq_iUnion_countablyGeneratedAtomproof · cited by 1
- MeasurableSpace.measurableSet_measurableAtomproof · cited by 0
- MeasurableSpace.iUnion_countablyGeneratedAtomproof · cited by 0