Theorems · Theorem · logic and foundations
Ordinal.blsub_le_iff
Deprecated since 2026-03-23Mathlib marks this declaration as deprecated.
∀ {o : Ordinal.{u}} {f : (a : Ordinal.{u}) → a < o → Ordinal.{max u v}} {a : Ordinal.{max u v}},
o.blsub f ≤ a ↔ ∀ (i : Ordinal.{u}) (h : i < o), f i h < a- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Ordinal.blsubstatement and proof · cited by 44
- Ordinal.bsup_le_iffproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.lt_blsubproof · cited by 6
- Ordinal.blsub_leproof · cited by 5
- Ordinal.lt_blsub_iffproof · cited by 1
- Ordinal.blsub_typeproof · cited by 0