Every set of reals is continuum-Suslin (source code)

= Every set of reals is continuum-Suslin
{c}

Every $A\subseteq\omega^\omega$ is $2^{\aleph_0}$-Suslin. Give each $a\in A$ its own label and use the tree of finite pairs $(a\mathbin{\upharpoonright}n,a\mathbin{\upharpoonright}n)$, then relabel the first coordinate by an injection into a set of size $2^{\aleph_0}$.