Theorems · Theorem · group theory
List.neg_one_mem_of_prod_eq_neg_one
∀ {l : List ℤ}, l.prod = -1 → -1 ∈ lIf a product of integers is -1, then at least one factor must be -1.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- ne_of_eq_of_neproof · cited by 23
- Int.isUnit_iffproof · cited by 9
- List.prod_isUnit_iffproof · cited by 1
- List.exists_mem_ne_one_of_prod_ne_oneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- jacobiSym.eq_neg_one_at_prime_divisor_of_eq_neg_oneproof · cited by 0