Theorems · Theorem · group theory
Associated.ne_zero_iff
∀ {M : Type u_1} [inst : MonoidWithZero M] {a b : M}, Associated a b → (a ≠ 0 ↔ b ≠ 0)- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- MonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidWithZerostatement and proof · cited by 456
- Associatedstatement and proof · cited by 296
- Associated.eq_zero_iffproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Associated.primeproof · cited by 4
- Associated.card_factors_eqproof · cited by 1
- Polynomial.monic_generator_eq_minpolyproof · cited by 0