Theorems · Theorem · logic and foundations
Cardinal.preBeth_nat
∀ (n : ℕ), Cardinal.preBeth ↑n = ↑((fun x => 2 ^ x)^[n] 0)
- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Ordinalstatement · cited by 1,688
- Nat.iteratestatement · cited by 740
- Cardinal.preBethstatement · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.preBeth_omegaproof · cited by 1
- Cardinal.preBeth_oneproof · cited by 0