Theorems · Theorem · logic and foundations
Cardinal.lift_eq_nat_iff
∀ {a : Cardinal.{u}} {n : ℕ}, Cardinal.lift.{v, u} a = ↑n ↔ a = ↑n- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 2 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.
Cites4
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 · cited by 583
- Cardinal.lift_natCastproof · cited by 39
- Cardinal.lift_injectiveproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- finrank_span_eq_cardproof · cited by 7
- Cardinal.lift_eq_ofNat_iffproof · cited by 0