Theorems · Theorem · logic and foundations
Cardinal.lsub_lt_ord_lift_of_isRegular
Deprecated since 2026-03-22Use Ordinal.lift_iSup_add_one_lt_of_lt_cof instead.
∀ {ι : Type u} {f : ι → Ordinal.{max u v}} {c : Cardinal.{max u v}},
c.IsRegular → Cardinal.lift.{v, u} (Cardinal.mk ι) < c → (∀ (i : ι), f i < c.ord) → Ordinal.lsub f < c.ord- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- Ordinalstatement and proof · cited by 1,688
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftstatement and proof · cited by 583
- Cardinal.IsRegularstatement and proof · cited by 282
- Cardinal.ordstatement and proof · cited by 266
- Ordinal.cofproof · cited by 125
- Ordinal.liftproof · cited by 86
- Cardinal.lift_umaxproof · cited by 56
- Ordinal.lsubstatement · cited by 43
- Cardinal.IsRegular.cof_ordproof · cited by 23
- Ordinal.lift_id'proof · cited by 10
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