Theorems · Theorem · logic and foundations
Ordinal.Principal.sSup
Deprecated since 2026-03-17Use Ordinal.IsPrincipal.sSup instead.
∀ {op : Ordinal.{u_1} → Ordinal.{u_1} → Ordinal.{u_1}} {s : Set Ordinal.{u_1}},
(∀ x ∈ s, Ordinal.IsPrincipal op x) → Ordinal.IsPrincipal op (sSup s)Alias of Ordinal.IsPrincipal.sSup.
- Defined in
- Mathlib.SetTheory.Ordinal.Principal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Ordinalstatement · cited by 1,688
- SupSet.sSupstatement · cited by 954
- Ordinal.IsPrincipalstatement · cited by 92
- Ordinal.IsPrincipal.sSupproof · cited by 2
Cited by0
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