Theorems · Theorem · group theory
IsUnit.multisetProd_iff
∀ {M : Type u_4} [inst : CommMonoid M] {s : Multiset M}, IsUnit s.prod ↔ ∀ a ∈ s, IsUnit a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoid
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.
- Multisetstatement and proof · cited by 2,627
- CommMonoidstatement and proof · cited by 2,264
- IsUnitstatement and proof · cited by 1,602
- Multiset.prodstatement and proof · cited by 528
- Multiset.prod_consproof · cited by 68
- Multiset.inductionproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.uniqueFactorizationMonoidproof · cited by 1