Theorems · Theorem · number theory
Nat.mem_divisors_self
∀ (n : ℕ), n ≠ 0 → n ∈ n.divisors
- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 6 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.divisorsstatement · cited by 137
- dvd_rflproof · cited by 80
- Nat.mem_divisorsproof · cited by 22
Cited by6
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.adjoin_roots_cyclotomic_eq_adjoin_nth_rootsproof · cited by 3
- IsCyclotomicExtension.adjoin_roots_cyclotomic_eq_adjoin_root_cyclotomicproof · cited by 2
- ArithmeticFunction.vonMangoldt_le_logproof · cited by 2
- Polynomial.cyclotomic.dvd_X_pow_sub_oneproof · cited by 2
- Nat.sup_divisors_idproof · cited by 1
- Nat.divisors_card_eq_one_iffproof · cited by 0