Theorems · Theorem · logic and foundations
Ordinal.mem_range_lift_of_card_le
∀ {a : Cardinal.{u}} {b : Ordinal.{max u v}}, b.card ≤ Cardinal.lift.{v, u} a → b ∈ Set.range Ordinal.lift.{v, u}- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
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
- Cardinalstatement and proof · cited by 2,598
- LT.lt.leproof · cited by 2,189
- Ordinalstatement and proof · cited by 1,688
- Order.succproof · cited by 633
- Cardinal.liftstatement and proof · cited by 583
- Cardinal.ordproof · cited by 266
- Ordinal.cardstatement and proof · cited by 122
- Ordinal.liftstatement · cited by 86
- Cardinal.lift_ordproof · cited by 8
- Cardinal.card_le_iffproof · cited by 4
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