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Theorems · Theorem · logic and foundations

Ordinal.lt_bsup

Deprecated since 2026-04-05Mathlib marks this declaration as deprecated.

∀ {o : Ordinal.{u}} (f : (a : Ordinal.{u}) → a < o → Ordinal.{max u v}) {a : Ordinal.{max u v}},
  a < o.bsup f ↔ ∃ i, ∃ (hi : i < o), a < f i hi
Defined in
Mathlib.SetTheory.Ordinal.Family
Cited by
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Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Ordinal · cited by 1688OrdinalOrdinal.bsup · cited by 49Ordinal.bsupOrdinal.bsup_le_iff · cited by 4Ordinal.bsup_le_iffOrdinal.lt_bsupCITED BYCITES

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