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Ordinal.bsup_eq_zero_iff

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

∀ {o : Ordinal.{u_3}} {f : (a : Ordinal.{u_3}) → a < o → Ordinal.{max u_4 u_3}},
  o.bsup f = 0 ↔ ∀ (i : Ordinal.{u_3}) (hi : i < o), f i hi = 0
Defined in
Mathlib.SetTheory.Ordinal.Family
Cited by
1 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Ordinal.bsup_zero · cited by 0Ordinal.bsup_zerole_antisymm · cited by 2068le_antisymmOrdinal · cited by 1688Ordinalzero_le · cited by 382zero_lenonpos_iff_eq_zero · cited by 100nonpos_iff_eq_zeroOrdinal.bsup · cited by 49Ordinal.bsupOrdinal.le_bsup · cited by 10Ordinal.le_bsupOrdinal.bsup_le · cited by 6Ordinal.bsup_leOrdinal.bsup_eq_zero_iffCITED BYCITES

Cites7

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Cited by1

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