Theorems · Theorem · logic and foundations
Cardinal.preBeth_of_omega0_sq_le
∀ {o : Ordinal.{u_1}}, Ordinal.omega0 ^ 2 ≤ o → Cardinal.preBeth o = Cardinal.beth o- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 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.
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.one_lt_omega0proof · cited by 39
- Cardinal.bethstatement · cited by 35
- Cardinal.preBethstatement and proof · cited by 31
- Ordinal.opow_natCastproof · cited by 11
- Ordinal.add_of_omega0_opow_leproof · cited by 5
- Ordinal.left_lt_opowproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.IsInaccessible.beth_ordproof · cited by 2