Theorems · Theorem · group theory
associated_unit_mul_left
∀ {N : Type u_2} [inst : CommMonoid N] (a u : N), IsUnit u → Associated (u * a) a- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 11 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.
- CommMonoidstatement and proof · cited by 2,264
- mul_commproof · cited by 2,262
- IsUnitstatement and proof · cited by 1,602
- Associatedstatement and proof · cited by 296
- associated_mul_unit_leftproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- associated_unit_mul_rightproof · cited by 3
- prime_mul_iffproof · cited by 0
- Polynomial.exists_primitive_lcm_of_isPrimitiveproof · cited by 0
- UniqueFactorizationMonoid.radical_mul_of_isUnit_leftproof · cited by 0