Theorems · Theorem · logic and foundations
Acc.mem_range_rank_of_le
∀ {α : Type u} {a : α} {r : α → α → Prop} {o : Ordinal.{u}} (ha : Acc r a),
o ≤ ha.rank → ∃ b, ∃ (hb : Acc r b), hb.rank = o- Defined in
- Mathlib.SetTheory.Ordinal.Rank
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- LE.le.eq_or_ltproof · cited by 220
- Order.lt_succ_iffproof · cited by 22
- Ordinal.lt_iSup_iffproof · cited by 4
- Acc.rankstatement and proof · cited by 4
- Acc.rank_eqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsWellFounded.mem_range_rank_of_leproof · cited by 1