Theorems · Theorem · commutative algebra
Associates.factors.congr_simp
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] (a a_1 : Associates α),
a = a_1 → a.factors = a_1.factors- Cited by
- 4 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- UniqueFactorizationMonoidstatement and proof · cited by 279
- Associatesstatement and proof · cited by 210
- Associates.factorsstatement and proof · cited by 97
- Associates.FactorSetstatement · cited by 52
Cited by4
Results whose statement or proof uses this declaration.
- Associates.dvd_count_of_dvd_count_mulproof · cited by 1
- Associates.count_le_count_of_factors_leproof · cited by 1
- Associates.count_mul_of_coprime'proof · cited by 0
- Associates.count_mul_of_coprimeproof · cited by 0