Theorems · Theorem · logic and foundations
Ordinal.mem_range_lift_of_le
∀ {a : Ordinal.{u}} {b : Ordinal.{max u v}}, b ≤ Ordinal.lift.{v, u} a → b ∈ Set.range Ordinal.lift.{v, u}- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 2 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.
Cites6
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.liftstatement and proof · cited by 86
- Ordinal.liftInitialSegproof · cited by 8
- InitialSeg.mem_range_of_leproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.lift_preBethproof · cited by 1
- Ordinal.mem_range_lift_of_card_leproof · cited by 0