Theorems · Theorem · group theory
Irreducible.dvd_or_isRelPrime
∀ {M : Type u_1} [inst : Monoid M] {p n : M}, Irreducible p → p ∣ n ∨ IsRelPrime p n- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
- Irreduciblestatement and proof · cited by 496
- IsRelPrimestatement · cited by 136
- Irreducible.isRelPrime_iff_not_dvdproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- dvd_or_isCoprimeproof · cited by 2