Theorems · Theorem · group theory
Associated.of_eq
∀ {M : Type u_1} [inst : Monoid M] {a b : M}, a = b → Associated a b- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- mul_oneproof · cited by 3,885
- Associatedstatement · cited by 296
- Units.val_oneproof · cited by 39
Cited by7
Results whose statement or proof uses this declaration.
- normalize_eq_normalize_iff_associatedproof · cited by 5
- Polynomial.associated_content_C_mulproof · cited by 4
- Polynomial.IsPrimitive.mul_map_mem_lifts_iffproof · cited by 2
- Submonoid.LocalizationMap.uniqueFactorizationMonoidproof · cited by 1
- Multiset.extract_gcd'proof · cited by 1
- Associated.of_subsingletonproof · cited by 0
- fermatLastTheoremWith_of_fermatLastTheoremWith_coprimeproof · cited by 0