Consider the following language operation that takes three languages over the same alphabet and a natural number as inputs: F(L1, L2, L3, n) = {w'w?... Ww+1 Li, L, and w3L, for each i = 0,...,n-1} Prove that the class of context-free languages is closed under operation F. Briefly explain your argument in the below text-box. Consider the following language operation that takes three languages over the same alphabet and a natural number as inputs: F(L1, L2, L3, n) = {w'w?... Ww+1 Li, L, and w3L, for each i = 0,...,n-1} Prove that the class of context-free languages is closed under operation F. Briefly explain your argument in the below text-box