Theorems · Theorem · measure theory
MeasurableSpace.mem_countablyGeneratedAtom_natGeneratingSequence
∀ {α : Type u_1} {mα : MeasurableSpace α} [inst : MeasurableSpace.CountablyGenerated α] (x : α),
x ∈ MeasurableSpace.countablyGeneratedAtom α fun x_1 => x ∈ MeasurableSpace.natGeneratingSequence α x_1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 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
- MeasurableSpace.natGeneratingSequencestatement · cited by 11
- MeasurableSpace.countablyGeneratedAtomstatement · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- MeasurableSpace.exists_eq_iUnion_countablyGeneratedAtomproof · cited by 1