Prove that if the principle of ordinary mathematical induction is true, then the principle

of strong mathematical induction is also true. Use strong mathematical induction to

prove the existence part of quotient remainder theorem for integers n>=0

also solve the question given in the picture

Prove or disprove "composition of two partial ordered relations is a partial order relation", also for x = (X1,X2) and y = (y1, y2), let R = {(x, y) E R2 X R2: 4x? + 9x2 = 4y3 + 9/}}. Check this relation for total order