Theorems · Theorem · order theory
ENat.toNat_eq_zero
∀ {n : ℕ∞}, n.toNat = 0 ↔ n = 0 ∨ n = ⊤- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 4 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- ENatstatement and proof · cited by 4,985
- ENat.toNatstatement · cited by 143
- WithTop.untopD_eq_self_iffproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.toNat_eq_zeroproof · cited by 5
- ENat.toNat_posproof · cited by 1
- SimpleGraph.diam_botproof · cited by 0
- SimpleGraph.diam_eq_zeroproof · cited by 0