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For particular choices of $v$, we recover the traditional Tamari lattice and the $m$-Tamari lattice.\n  Let $\\overleftarrow{v}$ be the path obtained from $v$ by reading the unit steps of $v$ in reverse order, replacing the east steps by north steps and vice versa. We show that the poset Tam$(v)$ is isomorphic to the dual of the poset Tam$(\\overleftarrow{v})$. 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For particular choices of $v$, we recover the traditional Tamari lattice and the $m$-Tamari lattice.\n  Let $\\overleftarrow{v}$ be the path obtained from $v$ by reading the unit steps of $v$ in reverse order, replacing the east steps by north steps and vice versa. We show that the poset Tam$(v)$ is isomorphic to the dual of the poset Tam$(\\overleftarrow{v})$. 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