Theorems · Theorem · logic and foundations
Cardinal.beth_eq_preBeth
∀ (o : Ordinal.{u_1}), Cardinal.beth o = Cardinal.preBeth (Ordinal.omega0 + o)- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Ordinal.omega0statement · cited by 197
- Cardinal.bethstatement · cited by 35
- Cardinal.preBethstatement · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.lift_bethproof · cited by 5
- Cardinal.isStrongLimit_bethproof · cited by 0