Witt ’ s Proof of the Wedderburn Theorem 1

The following propositions are true: (1) For every natural number a and for every real number q such that 1 < q and q = 1 holds a = 0. (2) For all natural numbers a, k, r and for every real number x such that 1 < x and 0 < k holds xa·k+r = x · xa·(k− ′1)+r. (3) For all natural numbers q, a, b such that 0 < a and 1 < q and q − 1 | q − 1 holds a | b. (4) For all natural numbers n, q such that 0 < q holds qn = q.