Ambivalence is quotient-closed

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

Statement with symbols

If $G$ is an ambivalent group, and $N$ is a normal subgroup of $G$, the quotient group $G/N$ is also an ambivalent group.