Ambivalence is direct product-closed

This article gives the statement, and possibly proof, of a group property (i.e., ambivalent group) satisfying a group metaproperty (i.e., direct product-closed group property)
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Statement

Statement with symbols

Suppose $I$ is an indexing set and $G_{i},i\in I$, is a collection of ambivalent groups. Let $G$ be the external direct product of the $G_{i}$s. Then, $G$ is also an ambivalent group.

Related facts

• Every element is automorphic to its inverse is direct product-closed
• Conjugacy-closed subgroup of ambivalent group is ambivalent