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In the product $P\\times P$, there are names $\\dot{\\tau_{1}},\\dot{\\tau_{2}}$ such that for any generic filter $G=G_{1}\\times G_{2}$ over $P\\times P$, $\\dot{\\tau}_{1}[G]=\\dot{\\tau}[G_{1}]$ and $\\dot{\\tau}_{2}[G]=\\dot{\\tau}[G_{2}]$. Zapletal asked whether or not $P \\times P \\Vdash \\dot{\\tau}_{1}\\cong\\dot{\\tau}_{2}$ implies that there is some $M\\in V$ such that $P \\Vdash \\dot{\\tau}\\cong\\check{M}$. 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