  We address propagation of chaos for large systems of rough differential
equations associated with random rough differential equations of mean field
type $$ dX_t = V(X_t,\mathcal{L}(X_t))dt + F(X_t,\mathcal{L}(X_t))dW_t $$ where
$W$ is a random rough path and $\mathcal{L}(X_t)$ is the law of $X_t$. We prove
propagation of chaos, and provide also an explicit optimal convergence rate.
The analysis is based upon the tools we developed in our companion paper [1]
for solving mean field rough differential equations and in particular upon a
corresponding version of the It\^o-Lyons continuity theorem. The rate of
convergence is obtained by a coupling argument developed first by Sznitman for
particle systems with Brownian inputs.
