Theorems · Theorem · commutative algebra
Associated.neg_right
∀ {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
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- MonoidHasDistribNeg
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.
- Monoidstatement and proof · cited by 3,887
- Associatedstatement and proof · cited by 296
- HasDistribNegstatement and proof · cited by 114
- Associated.symmproof · cited by 87
- Associated.neg_leftproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.nthRootsFinset_pairwise_associated_sub_one_sub_of_primeproof · cited by 2
- IsCyclotomicExtension.Rat.associated_zeta_sub_one_pow_primeproof · cited by 1
- Associated.neg_right_iffproof · cited by 0
- Associated.neg_negproof · cited by 0