Anyone could apply some theorem to prove this is not context free? I read lot's of material. it's not homework, it's not exam, it's not anythings. I want to learn, if some people try to answer this question one year later, it's not important, but anyone try to learn me.
$$L_{a}= \{w_{1}cw_{2} : w_{1},w_{2} \in \{a,b\}^{\ast}, w_{1} = w_{2}\}$$