Theorems · Definition · logic and foundations
Ordinal.bfamilyOfFamily
Deprecated since 2026-04-06Use Ordinal.enum instead.
{α : Type u_1} → {ι : Type u} → (ι → α) → (a : Ordinal.{u}) → a < Ordinal.type WellOrderingRel → αConverts a family indexed by a Type u to one indexed by an Ordinal.{u} using a well-ordering
given by the axiom of choice.
- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement · cited by 1,688
- Ordinal.typestatement · cited by 207
- WellOrderingRelstatement and proof · cited by 30
- Ordinal.bfamilyOfFamily'proof · cited by 10
Cited by7
Results whose statement or proof uses this declaration.
- Ordinal.bsup_eq_iSupstatement · cited by 2
- Ordinal.mem_closure_iff_bsupproof · cited by 1
- Ordinal.blsub_eq_lsubstatement · cited by 0
- Ordinal.isClosed_iff_bsupproof · cited by 0
- Ordinal.brange_bfamilyOfFamilystatement · cited by 0
- Ordinal.bfamilyOfFamily_typeinstatement · cited by 0
- Ordinal.comp_bfamilyOfFamilystatement · cited by 0