Theorems · Theorem · commutative algebra
Associated.neg_left
∀ {M : Type u_1} [inst : Monoid M] [inst_1 : HasDistribNeg M] {a b : M}, Associated a b → Associated (-a) b- Defined in
- Mathlib.Algebra.Ring.Associated
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- MonoidHasDistribNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- neg_negproof · cited by 960
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- Associatedstatement and proof · cited by 296
- HasDistribNegstatement and proof · cited by 114
Cited by6
Results whose statement or proof uses this declaration.
- Associated.neg_rightproof · cited by 4
- UniqueFactorizationDomain.radical_negproof · cited by 1
- neg_gcd'proof · cited by 1
- gcd_neg'proof · cited by 1
- Associated.neg_left_iffproof · cited by 1
- Associated.neg_negproof · cited by 0