Theorems · Theorem · logic and foundations
Cardinal.aleph_toENat
∀ (o : Ordinal.{u_1}), Cardinal.toENat (Cardinal.aleph o) = ⊤- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Top.topstatement · cited by 9,680
- ENatstatement · cited by 4,985
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- OrderEmbeddingstatement · cited by 619
- OrderRingHomstatement · cited by 132
- Cardinal.toENatstatement · cited by 92
- Cardinal.alephstatement · cited by 76
- Cardinal.aleph0_le_alephproof · cited by 9
- Cardinal.toENat_eq_topproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.