Theorems · Theorem · group theory
List.prod_isUnit_iff
∀ {M : Type u_8} [inst : CommMonoid M] {L : List M}, IsUnit L.prod ↔ ∀ m ∈ L, IsUnit m- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- IsUnitstatement and proof · cited by 1,602
- IsUnit.mul_iffproof · cited by 8
- List.prod_isUnitproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- List.neg_one_mem_of_prod_eq_neg_oneproof · cited by 1