Consider the following proposition: for each integer a, a 2 .mod 8/ if and only if a 2 c 4a 4 .mod 8/. (a) write the proposition as the conjunction of two conditional statements. (b) determine if the two conditional statements in part (a) are true or false. if a conditional statement is true, write a proof, and if it is false, provide a counterexample. (c) is the given proposition true or false? explain