Theorems · Theorem · commutative algebra
associatesEquivOfUniqueUnits_apply
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : Subsingleton αˣ] (a : Associates α),
associatesEquivOfUniqueUnits a = a.out- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Unitsstatement and proof · cited by 2,804
- MulEquivstatement · cited by 1,142
- CommMonoidWithZerostatement and proof · cited by 913
- Associatesstatement and proof · cited by 210
- Associates.outstatement · cited by 15
- associatesEquivOfUniqueUnitsstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- emultiplicity_factor_dvd_iso_eq_emultiplicity_of_mem_normalizedFactorsproof · cited by 1
- mem_normalizedFactors_factor_dvd_iso_of_mem_normalizedFactorsproof · cited by 1