Proof: If gcd(a, b) = 1, then 1 = ax + by for some x, y; also cla + b mean some integer r. Thus, b = cr - a, a = cr - b, so 1 = a(x -y) + c(ry) = which implies that gcd (a, c) = gcd(b, c) = 1. %3D %3D %3D %3D Write the theorem statement here: Now, rewrite the proof below giving explanations for each step along the u were explaining this to someone. Justify each step.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.