Theorems · Definition · logic and foundations
Ordinal.blsub
Deprecated since 2026-03-23Mathlib marks this declaration as deprecated.
(o : Ordinal.{u}) → ((a : Ordinal.{u}) → a < o → Ordinal.{max u v}) → Ordinal.{max u v}The least strict upper bound of a family of ordinals indexed by the set of ordinals less than
some o : Ordinal.{u}.
- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Order.succproof · cited by 633
- Ordinal.bsupproof · cited by 49
Cited by45
Results whose statement or proof uses this declaration.
- Ordinal.IsFundamentalSequenceproof · cited by 12
- Ordinal.lt_blsubstatement · cited by 6
- Ordinal.blsub_lestatement · cited by 5
- Ordinal.blsub_eq_lsub'statement · cited by 4
- Ordinal.blsub_le_iffstatement and proof · cited by 4
- Ordinal.blsub_lt_ord_liftstatement and proof · cited by 3
- Ordinal.bsup_le_blsubstatement · cited by 3
- Ordinal.lsub_eq_blsubstatement · cited by 3
- Ordinal.cof_blsub_le_liftstatement and proof · cited by 3
- Ordinal.bsup_eq_blsub_iff_lt_bsupstatement and proof · cited by 2
- Ordinal.bsup_eq_blsub_of_lt_succ_limitstatement · cited by 2
- Ordinal.lsub_eq_blsub'statement · cited by 2