Theorems · Theorem · logic and foundations
Ordinal.blsub_lt_ord_lift
Deprecated since 2026-03-22Use Ordinal.lift_iSup_add_one_lt_of_lt_cof instead.
∀ {o : Ordinal.{u}} {f : (a : Ordinal.{u}) → a < o → Ordinal.{max u v}} {c : Ordinal.{max u v}},
Cardinal.lift.{v, u} o.card < c.cof → (∀ (i : Ordinal.{u}) (hi : i < o), f i hi < c) → o.blsub f < c- Cited by
- 3 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Cardinal.liftstatement and proof · cited by 583
- LT.lt.not_geproof · cited by 305
- lt_of_le_of_neproof · cited by 230
- Ordinal.cofstatement and proof · cited by 125
- Ordinal.cardstatement and proof · cited by 122
- Ordinal.blsubstatement and proof · cited by 44
- Ordinal.lift_cardproof · cited by 7
- Ordinal.blsub_leproof · cited by 5
- Ordinal.cof_blsub_le_liftproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.bsup_lt_ord_liftproof · cited by 2
- Ordinal.blsub_lt_ordproof · cited by 1
- Cardinal.blsub_lt_ord_lift_of_isRegularproof · cited by 0