Theorems · Theorem · order theory
ENat.lift_eq_toNat_of_lt_top
∀ {x : ℕ∞} (hx : x < ⊤), x.lift hx = x.toNat- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Bot.botproof · cited by 4,720
- OrderDualproof · cited by 927
- WithBot.someproof · cited by 541
- ENat.toNatstatement · cited by 143
- ENat.liftstatement and proof · cited by 19
- WithBot.LT.casesOnproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- PowerSeries.IsWeierstrassDivision.isUnit_of_map_ne_zeroproof · cited by 2
- PowerSeries.IsWeierstrassFactorization.isWeierstrassDivisionproof · cited by 1
- Ring.ordMonoidWithZeroHom_eq_ordMonoidHomproof · cited by 0