Theorems · Theorem · group theory
Associated.mul_right
∀ {M : Type u_1} [inst : CommMonoid M] {a b : M}, Associated a b → ∀ (c : M), Associated (a * c) (b * c)- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- CommMonoid
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.
- Unitsproof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valproof · cited by 1,966
- Associatedstatement and proof · cited by 296
- mul_right_commproof · cited by 108
Cited by6
Results whose statement or proof uses this declaration.
- Associated.mul_mulproof · cited by 7
- Polynomial.associated_content_mulproof · cited by 6
- Polynomial.associated_primPart_mulproof · cited by 2
- Finset.gcd_mul_leftproof · cited by 2
- IsGCDMonoid.isPrincipal_of_exists_mul_ne_zero_isPrincipalproof · cited by 1
- Multiset.gcd_map_mulproof · cited by 0