Theorems · Theorem · logic and foundations
Cardinal.lift_beth
∀ (o : Ordinal.{u_1}), Cardinal.lift.{v, u_1} (Cardinal.beth o) = Cardinal.beth (Ordinal.lift.{v, u_1} o)- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 83 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.
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Cardinal.liftstatement and proof · cited by 583
- Ordinal.omega0proof · cited by 197
- Ordinal.liftstatement and proof · cited by 86
- Cardinal.bethstatement and proof · cited by 35
- Cardinal.preBethproof · cited by 31
- Ordinal.lift_addproof · cited by 6
- Ordinal.lift_omega0proof · cited by 4
- Cardinal.beth_eq_preBethproof · cited by 2
- Cardinal.lift_preBethproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Cardinal.beth_natCast_eq_liftproof · cited by 1
- Cardinal.beth_natCast_le_liftproof · cited by 1
- Cardinal.beth_natCast_lt_liftproof · cited by 1
- Cardinal.lift_lt_beth_natCastproof · cited by 1
- Cardinal.lift_le_beth_natCastproof · cited by 1