MeasurableSpace.cardinal_generateMeasurable_le

∀ {α : Type u} (s : Set (Set α)),
  Cardinal.mk ↑{t | MeasurableSpace.GenerateMeasurable s t} ≤ max (Cardinal.mk ↑s) 2 ^ Cardinal.aleph0

If a sigma-algebra is generated by a set of sets s, then the sigma-algebra has cardinality at most max #s 2 ^ ℵ₀.

Defined in: Mathlib.MeasureTheory.MeasurableSpace.Card
Cited by: 2 results in Mathlib
Foundations: Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

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