Theorems · Theorem · logic and foundations
Ordinal.card_le_beth
∀ (o : Ordinal.{u_1}), o.card ≤ Cardinal.beth o- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 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.
- LE.le.transproof · cited by 3,151
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Ordinal.cardstatement · cited by 122
- Cardinal.bethstatement · cited by 35
- Cardinal.aleph_le_bethproof · cited by 3
- Ordinal.card_le_alephproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.le_beth_ordproof · cited by 0