Theorems · Theorem · commutative algebra
Associates.factors_subsingleton
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] [Subsingleton α]
{a : Associates α}, a.factors = ⊤- Cited by
- 4 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Multisetstatement · cited by 2,627
- CommMonoidWithZerostatement and proof · cited by 913
- Irreduciblestatement · cited by 496
- UniqueFactorizationMonoidstatement and proof · cited by 279
- Associatesstatement and proof · cited by 210
- Associates.factorsstatement and proof · cited by 97
- Associates.FactorSetstatement and proof · cited by 52
- Associates.factors_zeroproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- Associates.factors_mulproof · cited by 4
- Associates.eq_pow_count_factors_of_dvd_powproof · cited by 2
- Associates.factors_eq_top_iff_zeroproof · cited by 1
- Associates.sup_mul_infproof · cited by 0