Ordinal.sSup_add_one_lt_of_lt_cof

∀ {s : Set Ordinal.{u}} {a : Ordinal.{u}},
  Cardinal.mk ↑s < (Ordinal.lift.{u + 1, u} a).cof → (∀ i ∈ s, i < a) → sSup ((fun x => x + 1) '' s) < a

Defined in: Mathlib.SetTheory.Cardinal.Cofinality.Ordinal
Cited by: 2 results in Mathlib
Foundations: Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

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