Question on proof where I should only be using postulates

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Looking at this proof, I proved that AE is congruent to EB and DF is congruent to FC by the definition of the midpoint. I also know AB is congruent to DE, but I don’t know where to go from there. Usually I would use the subtraction postulate, but doing AB-AE would give me BE, not EA. Any suggestions would be appreciated.enter image description here