Theorems · Theorem · order theory
ENat.map_natCast_eq_zero
∀ {n : ℕ∞} {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : PartialOrder α] [AddLeftMono α] [ZeroLEOneClass α]
[CharZero α], ENat.map Nat.cast n = 0 ↔ n = 0- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- ENatstatement and proof · cited by 4,985
- WithTopstatement · cited by 3,754
- Nat.cast_zeroproof · cited by 1,870
- WithTop.someproof · cited by 1,128
- CharZerostatement and proof · cited by 932
- AddLeftMonostatement and proof · cited by 687
- AddMonoidWithOnestatement and proof · cited by 313
- ZeroLEOneClassstatement and proof · cited by 304
- ENat.mapstatement and proof · cited by 31
- ENat.map_natCast_injproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeromorphicNFAt.meromorphicOrderAt_eq_zero_iffproof · cited by 14