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Theorems · Theorem · logic and foundations

Ordinal.IsPrincipal.iSup

∀ {op : Ordinal.{u_2} → Ordinal.{u_2} → Ordinal.{u_2}} {ι : Sort u_1} {f : ι → Ordinal.{u_2}},
  (∀ (i : ι), Ordinal.IsPrincipal op (f i)) → Ordinal.IsPrincipal op (⨆ i, f i)
Defined in
Mathlib.SetTheory.Ordinal.Principal
Cited by
1 results in Mathlib
Foundations
Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
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Ordinal.Principal.iSup · cited by 0Principal.iSupiSup · cited by 2415iSupOrdinal · cited by 1688OrdinalOrdinal.IsPrincipal · cited by 92Ordinal.IsPrincipalOrdinal.IsPrincipal.sSup · cited by 2IsPrincipal.sSupIsPrincipal.iSupCITED BYCITES

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