Theorems · Theorem · group theory
Associates.mk_injective
∀ {M : Type u_1} [inst : Monoid M] [Subsingleton Mˣ], Function.Injective Associates.mk- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- MonoidSubsingleton
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Associatesstatement · cited by 210
- Associates.mkstatement and proof · cited by 137
- associated_iff_eqproof · cited by 28
- Associates.mk_eq_mk_iff_associatedproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- IsDedekindDomain.HeightOneSpectrum.maxPowDividing_eq_pow_multiset_countproof · cited by 2