Theorems · Theorem · number theory
Nat.one_mem_properDivisors_iff_one_lt
∀ {n : ℕ}, 1 ∈ n.properDivisors ↔ 1 < n- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 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.
- Finsetstatement · cited by 13,712
- Nat.properDivisorsstatement · cited by 52
- one_dvdproof · cited by 37
- Nat.mem_properDivisorsproof · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.cyclotomic_coeff_zeroproof · cited by 3
- Nat.properDivisors_eq_singleton_one_iff_primeproof · cited by 1
- Nat.nonempty_properDivisorsproof · cited by 1
- Nat.sum_properDivisors_eq_one_iff_primeproof · cited by 1