Theorems · Theorem · logic and foundations
Cardinal.beth_ofNat_le_lift
∀ {c : Cardinal.{u}} {n : ℕ} [inst : n.AtLeastTwo],
Cardinal.beth (OfNat.ofNat n) ≤ Cardinal.lift.{v, u} c ↔ Cardinal.beth (OfNat.ofNat n) ≤ c- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement · cited by 1,688
- Cardinal.liftstatement · cited by 583
- Nat.AtLeastTwostatement and proof · cited by 405
- Cardinal.bethstatement · cited by 35
- Cardinal.beth_natCast_le_liftproof · cited by 1
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