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Theorems · Theorem · measure theory

MeasurableSpace.generateMeasurableRec_omega_one

∀ {α : Type u} (s : Set (Set α)),
  MeasurableSpace.generateMeasurableRec s (Ordinal.omega 1) =
    ⋃ i, ⋃ (_ : i < Ordinal.omega 1), MeasurableSpace.generateMeasurableRec s i
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Card
Cited by
1 results in Mathlib
Foundations
Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasurableSpace.generateMeasurable_eq_rec · cited by 2MeasurableSpace.generateM…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetSet.iUnion · cited by 2483Set.iUnioniSup · cited by 2415iSupLT.lt.le · cited by 2189lt.leOrdinal · cited by 1688OrdinalOrder.succ · cited by 633Order.succOrderEmbedding · cited by 619OrderEmbeddingCardinal.lift · cited by 583Cardinal.liftCardinal.aleph0 · cited by 521Cardinal.aleph0Ordinal.cof · cited by 125Ordinal.cofLE.le.antisymm' · cited by 104le.antisymm'Set.mem_iUnion₂ · cited by 70Set.mem_iUnion₂Ordinal.omega · cited by 60Ordinal.omegaSet.iUnion₂_subset · cited by 48Set.iUnion₂_subsetMeasurableSpace.generateMeasu…CITED BYCITES

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