Theorems · Theorem · group theory
associated_isUnit_mul_left_iff
∀ {N : Type u_2} [inst : CommMonoid N] {u a b : N}, IsUnit u → (Associated (u * a) b ↔ Associated a b)- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 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_isUnit_left_iffproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- associated_isUnit_mul_right_iffproof · cited by 1
- associated_unit_mul_left_iffproof · cited by 0