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