Theorems · Theorem · logic and foundations
Cardinal.lift_le_aleph0
∀ {c : Cardinal.{u}}, Cardinal.lift.{v, u} c ≤ Cardinal.aleph0 ↔ c ≤ Cardinal.aleph0- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 71 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 and proof · cited by 2,598
- Cardinal.liftstatement and proof · cited by 583
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.lift_leproof · cited by 78
- Cardinal.lift_aleph0proof · cited by 41
Cited by5
Results whose statement or proof uses this declaration.
- Cardinal.mk_finsupp_lift_of_infinite'proof · cited by 7
- Algebraic.cardinalMk_lift_le_mulproof · cited by 2
- Algebraic.countableproof · cited by 1
- Set.Countable.substructure_closureproof · cited by 1