  In this article, we establish a propagation of chaos result for weakly
interacting nonlinear Snell envelopes which converge to a class of mean-field
reflected backward stochastic differential equations (BSDEs) with jumps and
right-continuous and left-limited obstacle, where the mean-field interaction in
terms of the distribution of the $Y$-component of the solution enters both the
driver and the lower obstacle. Under mild Lipschitz and integrability
conditions on the coefficients, we prove existence and uniqueness of the
solution to both the mean-field reflected BSDEs with jumps and the
corresponding system of weakly interacting particles and provide a propagation
of chaos result for the whole solution $(Y,Z,U,K)$, which requires new
technical results due to the dependence of the obstacle on the solution and the
presence of jumps.
