Theorems · Theorem · logic and foundations
Cardinal.lift_ofNat
∀ (n : ℕ) [inst : n.AtLeastTwo], Cardinal.lift.{u, v} (OfNat.ofNat n) = OfNat.ofNat n- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
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 · cited by 2,598
- Cardinal.liftstatement · cited by 583
- Nat.AtLeastTwostatement and proof · cited by 405
- Cardinal.lift_natCastproof · cited by 39
Cited by7
Results whose statement or proof uses this declaration.
- Cardinal.mk_perm_eq_self_powerproof · cited by 2
- MeasurableSpace.cardinal_generateMeasurableRec_leproof · cited by 1
- ZFSet.card_powersetproof · cited by 1
- Cardinal.IsStrongLimit.univproof · cited by 1
- Cardinal.lift_preBethproof · cited by 1
- Cardinal.mk_freeGroupproof · cited by 0
- Cardinal.mk_freeAddGroupproof · cited by 0