Theorems · Theorem · logic and foundations
Ordinal.iSup_eq_lsub_iff_lt_iSup
Deprecated since 2026-03-27Mathlib marks this declaration as deprecated.
∀ {ι : Type u_3} (f : ι → Ordinal.{max u_4 u_3}), iSup f = Ordinal.lsub f ↔ ∀ (i : ι), f i < iSup f- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement and proof · cited by 2,415
- le_antisymmproof · cited by 2,068
- Ordinalstatement and proof · cited by 1,688
- Ordinal.lsubstatement and proof · cited by 43
- Ordinal.lt_lsubproof · cited by 7
- Ordinal.lsub_leproof · cited by 6
- Ordinal.iSup_le_lsubproof · cited by 4
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