定理18(证明(2) 馨(2)Rp+=Rs,其中ki∈N,p=ts; 证明:(2)K=0时,显然; k=1时,即(1) 设k≥2则 Rs+kp+l= RS+k(t-s)+i=Rst-s+(k-1)(t-s)+i =R+k1(+=R+(1)(s)=…, Rs+(-s)*l= Rt+i= Rs+l 《集合论与图论》第7讲《集合论与图论》第7讲 17 定理18(证明(2)) (2) Rs+kp+i = Rs+i, 其中k,i∈N, p=t-s; 证明: (2) k=0时,显然; k=1时,即(1); 设 k≥2. 则 Rs+kp+i = Rs+k(t-s)+i = Rs+t-s+(k-1)(t-s)+i = Rt+(k-1)(t-s)+i = Rs+(k-1)(t-s)+i = … = Rs+(t-s)+i = Rt+i = Rs+i . #