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Theorems · Theorem · logic and foundations

ZFSet.IsTransitive.iUnion

∀ {α : Type u_1} [inst : Small.{u, u_1} α] {f : α → ZFSet.{u}},
  (∀ (i : α), (f i).IsTransitive) → (ZFSet.iUnion fun i => f i).IsTransitive
Defined in
Mathlib.SetTheory.ZFC.Ordinal
Cited by
1 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Small
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ZFSet.isTransitive_vonNeumann · cited by 1ZFSet.isTransitive_vonNeu…Small · cited by 369SmallZFSet · cited by 259ZFSetZFSet.IsTransitive · cited by 22ZFSet.IsTransitiveZFSet.iUnion · cited by 10ZFSet.iUnionZFSet.IsTransitive.sUnion' · cited by 2IsTransitive.sUnion'IsTransitive.iUnionCITED BYCITES

Cites5

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Cited by1

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