Theorems · Theorem · logic and foundations
Cardinal.nat_lt_lift_iff
∀ {n : ℕ} {a : Cardinal.{u}}, ↑n < Cardinal.lift.{v, u} a ↔ ↑n < a- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 3 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 and proof · cited by 583
- Cardinal.lift_natCastproof · cited by 39
- Cardinal.lift_ltproof · cited by 39
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.one_lt_lift_iffproof · cited by 1
- Cardinal.ofNat_lt_lift_iffproof · cited by 0
- Cardinal.zero_lt_lift_iffproof · cited by 0