#Racket, 60 bytes
(λ(l)(andmap(λ(m)(andmap(λ(n)(not(member(+ n m)l)))l))l))
Explanation to follow.
Steven H.
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#Racket, 60 bytes
(λ(l)(andmap(λ(m)(andmap(λ(n)(not(member(+ n m)l)))l))l))
Explanation to follow.