Theorems · Theorem · logic and foundations
Cardinal.preAleph_le_aleph
∀ (o : Ordinal.{u_1}), Cardinal.preAleph o ≤ Cardinal.aleph o- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- OrderIsostatement · cited by 874
- OrderEmbeddingstatement · cited by 619
- Cardinal.alephstatement · cited by 76
- le_add_selfproof · cited by 51
- Cardinal.preAlephstatement · cited by 44
- Cardinal.preAleph_le_preAlephproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.card_le_alephproof · cited by 2