Theorems · Theorem · number theory
Nat.cons_self_properDivisors
∀ {n : ℕ}, n ≠ 0 → Finset.cons n n.properDivisors ⋯ = n.divisors- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 11 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.consstatement · cited by 221
- Nat.divisorsstatement and proof · cited by 137
- Finset.cons_eq_insertproof · cited by 59
- Nat.properDivisorsstatement and proof · cited by 52
- Nat.self_notMem_properDivisorsstatement and proof · cited by 14
- Nat.insert_self_properDivisorsproof · cited by 3
Cited by11
Results whose statement or proof uses this declaration.
- Polynomial.cyclotomic_coeff_zeroproof · cited by 3
- Polynomial.int_coeff_of_cyclotomic'proof · cited by 3
- ArithmeticFunction.self_mul_dirichletInverseproof · cited by 2
- Polynomial.cyclotomic_eq_X_pow_sub_one_divproof · cited by 2
- Polynomial.eq_cyclotomic_iffproof · cited by 2
- Nat.sum_divisors_eq_sum_properDivisors_add_selfproof · cited by 1
- Polynomial.cyclotomic_posproof · cited by 1
- Polynomial.cyclotomic'_eq_X_pow_sub_one_divproof · cited by 1
- Nat.Prime.prod_divisorsproof · cited by 0
- Polynomial.orderOf_root_cyclotomic_dvdproof · cited by 0
- Nat.Prime.sum_divisorsproof · cited by 0