Theorems · Theorem · commutative algebra
Associates.mem_factorSet_some
∀ {α : Type u_1} [inst : CommMonoidWithZero α] {p : Associates α} {hp : Irreducible p}
{l : Multiset { a // Irreducible a }}, p ∈ ↑l ↔ ⟨p, hp⟩ ∈ l- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZero
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.
- WithTopstatement · cited by 3,754
- Multisetstatement and proof · cited by 2,627
- WithTop.somestatement · cited by 1,128
- CommMonoidWithZerostatement and proof · cited by 913
- Irreduciblestatement and proof · cited by 496
- Associatesstatement and proof · cited by 210
- Multiset.Memproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Associates.dvd_of_mem_factorsproof · cited by 2
- Associates.dvd_of_mem_factors'proof · cited by 2
- Associates.mem_factors_of_dvdproof · cited by 1