Theorems · Theorem · number theory
Nat.Prime.divisors
∀ {p : ℕ}, Nat.Prime p → p.divisors = {1, p}- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 3 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Nat.Primestatement and proof · cited by 2,059
- Finset.extproof · cited by 565
- Nat.divisorsstatement · cited by 137
- Nat.Prime.ne_zeroproof · cited by 109
- Finset.mem_singletonproof · cited by 103
- Finset.mem_insertproof · cited by 44
- Nat.mem_divisorsproof · cited by 22
- Nat.dvd_primeproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.cyclotomic_primeproof · cited by 7
- Nat.Prime.properDivisorsproof · cited by 4
- nthRootsFinset_eq_of_primeproof · cited by 1