Theorems · Theorem · logic and foundations
Cardinal.beth_natCast_lt_lift
∀ {c : Cardinal.{u}} {n : ℕ}, Cardinal.beth ↑n < Cardinal.lift.{v, u} c ↔ Cardinal.beth ↑n < c- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 1,688
- Cardinal.liftstatement and proof · cited by 583
- Cardinal.lift_ltproof · cited by 39
- Cardinal.bethstatement and proof · cited by 35
- Ordinal.lift_natCastproof · cited by 16
- Cardinal.lift_bethproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.beth_ofNat_lt_liftproof · cited by 0