\left( (A^\varepsilon_l)^c \cap \{ l_\varepsilon > l \} \right)\\ \\ & \leq K_\varepsilon^0 \sup_{u \in G} P_u \left( (A^\varepsilon_0)^c \cap \{ l_\varepsilon > 0 \} \right)\end{aligned}$$ where in the last inequality we have used the 