Could you please explain to me step by step how to Prove Theorem 3 by paying attention to proof of theorem 1. Theorem 3: Suppose a = a0 + a1i + a2j + a3k R and 4: R -> R, 4 (a) = 4 (a0 + a1i + a2j + a3k) = (a0 + a2i + a3j + a1k), then 4 is the arena endomorphism Theorem 1: Suppose a = a0 + a1i + a2j + a3k R and 1 : R -> R, 1 (a) = 1 (a0 + a1i + a2j + a3k) = (a0 - a1i - a2j + a3k), then 2 is arena endomorphism