Theorems · Definition · order theory
ENat.lift
(x : ℕ∞) → x < ⊤ → ℕ
Convert a ℕ∞ to a ℕ using a proof that it is not infinite.
- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- WithTop.untopproof · cited by 36
Cited by19
Results whose statement or proof uses this declaration.
- ENat.natCast_liftstatement · cited by 5
- ENat.lift_eq_toNat_of_lt_topstatement and proof · cited by 4
- PowerSeries.IsWeierstrassFactorizationAt.degree_eq_coe_lift_order_map_of_ne_topstatement · cited by 2
- Polynomial.IsDistinguishedAt.degree_eq_coe_lift_order_mapstatement and proof · cited by 2
- PowerSeries.IsWeierstrassFactorization.isWeierstrassDivisionproof · cited by 1
- ENat.lt_lift_iffstatement · cited by 1
- PowerSeries.IsWeierstrassFactorization.degree_eq_coe_lift_order_mapstatement · cited by 1
- ENat.lift_natCaststatement · cited by 1
- ENat.lift_zerostatement · cited by 0
- ENat.lift_ofNatstatement · cited by 0
- ENat.coe_liftstatement · cited by 0
- ENat.le_lift_iffstatement · cited by 0