Theorems · Theorem · logic and foundations
Ordinal.range_familyOfBFamily
Deprecated since 2026-04-06Mathlib marks this declaration as deprecated.
∀ {α : Type u_1} {o : Ordinal.{u_3}} (f : (a : Ordinal.{u_3}) → a < o → α), Set.range (o.familyOfBFamily f) = o.brange f- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 3 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.rangestatement · cited by 4,705
- Ordinalstatement and proof · cited by 1,688
- Ordinal.ToTypestatement and proof · cited by 143
- Ordinal.type_toTypeproof · cited by 28
- Ordinal.familyOfBFamilystatement · cited by 12
- Ordinal.brangestatement · cited by 12
- Ordinal.range_familyOfBFamily'proof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.sSup_eq_bsupproof · cited by 0
- Ordinal.iSup_Iio_eq_bsupproof · cited by 0
- Ordinal.brange_constproof · cited by 0