Theorems · Theorem · logic and foundations
Ordinal.cof_iSup_le_lift
Deprecated since 2026-03-22Use Ordinal.lift_iSup_lt_of_lt_cof instead.
∀ {ι : Type u} {f : ι → Ordinal.{max u v}},
(∀ (i : ι), f i < iSup f) → (iSup f).cof ≤ Cardinal.lift.{v, u} (Cardinal.mk ι)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- iSupstatement and proof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftstatement and proof · cited by 583
- Ordinal.cofstatement and proof · cited by 125
- Ordinal.liftproof · cited by 86
- LT.lt.falseproof · cited by 66
- Cardinal.lift_umaxproof · cited by 56
- Ordinal.lift_id'proof · cited by 10
- Ordinal.lift_iSup_lt_of_lt_cofproof · cited by 8
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