reserve f for Function;
reserve n,k,n1 for Nat;
reserve r,p for Real;
reserve x,y,z for object;
reserve seq,seq1,seq2,seq3,seq9,seq19 for Real_Sequence;

theorem
  for a being Real, k being Nat holds (seq_const a).k = a
    by ORDINAL1:def 12,FUNCOP_1:7;
