Theorems · Definition · number theory
Nat.properDivisors
ℕ → Finset ℕ
properDivisors n is the Finset of divisors of n, other than n.
By convention, we set properDivisors 0 = ∅.
- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 52 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.filterproof · cited by 949
- Finset.Icoproof · cited by 450
Cited by57
Results whose statement or proof uses this declaration.
- Nat.mem_properDivisorsstatement · cited by 15
- Nat.Deficientproof · cited by 15
- Nat.self_notMem_properDivisorsstatement · cited by 14
- Nat.Abundantproof · cited by 14
- Nat.cons_self_properDivisorsstatement and proof · cited by 11
- Nat.Perfectproof · cited by 8
- Nat.properDivisors_zerostatement · cited by 6
- ArithmeticFunction.dirichletInverseFunproof · cited by 5
- Polynomial.cyclotomic_eq_prod_X_sub_primitiveRootsproof · cited by 5
- Nat.one_mem_properDivisors_iff_one_ltstatement · cited by 4
- Nat.Prime.properDivisorsstatement · cited by 4
- Nat.pos_of_mem_properDivisorsstatement and proof · cited by 4