Theorems · Theorem · group theory
associated_eq_eq
∀ {M : Type u_1} [inst : Monoid M] [Subsingleton Mˣ], Associated = Eq- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- MonoidSubsingleton
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
- Unitsstatement and proof · cited by 2,804
- Associatedstatement · cited by 296
- associated_iff_eqproof · cited by 28
Cited by6
Results whose statement or proof uses this declaration.
- Nat.dvd_prime_powproof · cited by 13
- Nat.factors_eqproof · cited by 5
- prime_dvd_prime_iff_eqproof · cited by 2
- Nat.divisors_filter_squarefreeproof · cited by 1
- Finset.prod_primes_dvdproof · cited by 1
- Nat.factors_multiset_prod_of_irreducibleproof · cited by 0