Theorems · Theorem · number theory
Nat.nonempty_divisors
∀ {n : ℕ}, n.divisors.Nonempty ↔ n ≠ 0- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 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.
- Finset.Nonemptystatement and proof · cited by 1,001
- Nat.divisorsstatement and proof · cited by 137
- Nat.divisors_zeroproof · cited by 12
- Nat.one_mem_divisorsproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Nat.divisors_eq_emptyproof · cited by 0