Theorems · Theorem · logic and foundations
Ordinal.principal_add_ord
Deprecated since 2026-03-18Use Ordinal.isPrincipal_add_ord instead.
∀ {c : Cardinal.{u_1}}, Cardinal.aleph0 ≤ c → Ordinal.IsPrincipal (fun x1 x2 => x1 + x2) c.ordAlias of Ordinal.isPrincipal_add_ord.
- Defined in
- Mathlib.SetTheory.Cardinal.Ordinal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Ordinalstatement · cited by 1,688
- Cardinal.aleph0statement · cited by 521
- Cardinal.ordstatement · cited by 266
- Ordinal.IsPrincipalstatement · cited by 92
- Ordinal.isPrincipal_add_ordproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.