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Theorems · Theorem · logic and foundations

Ordinal.isSuccLimit_of_principal_add

Deprecated since 2026-03-17Use Ordinal.isSuccLimit_of_isPrincipal_add instead.

∀ {o : Ordinal.{u}}, 1 < o → Ordinal.IsPrincipal (fun x1 x2 => x1 + x2) o → Order.IsSuccLimit o

Alias of Ordinal.isSuccLimit_of_isPrincipal_add.

Defined in
Mathlib.SetTheory.Ordinal.Principal
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Foundations
Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Ordinal · cited by 1688OrdinalOrder.IsSuccLimit · cited by 255Order.IsSuccLimitOrdinal.IsPrincipal · cited by 92Ordinal.IsPrincipalOrdinal.isSuccLimit_of_isPrincipal_add · cited by 4Ordinal.isSuccLimit_of_is…Ordinal.isSuccLimit_of_princi…CITED BYCITES

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