Theorems · Theorem · number theory
Int.exists_prime_and_dvd
∀ {n : ℤ}, n.natAbs ≠ 1 → ∃ p, Prime p ∧ p ∣ n- Defined in
- Mathlib.RingTheory.Int.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primeproof · cited by 2,059
- Primestatement · cited by 277
- Nat.prime_iff_prime_intproof · cited by 27
- Int.natCast_dvdproof · cited by 16
- Nat.exists_prime_and_dvdproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.exists_not_isUnramifiedInproof · cited by 1