reserve x for set;
reserve i,j for Integer;
reserve n,n1,n2,n3 for Nat;
reserve K,K1,K2,K3 for Field;
reserve SK1,SK2 for Subfield of K;
reserve ek,ek1,ek2 for Element of K;
reserve p for Prime;
reserve a,b,c for Element of GF(p);
reserve F for FinSequence of GF(p);

theorem Th24:
  for K being unital associative non empty multMagma, a being
  Element of K, n being Nat holds a|^(n+1) = (a|^n) * a
proof
  let K be unital associative non empty multMagma, a be
  Element of K, n be Nat;
  a|^(n+1) = (a|^n) * (a|^1) by BINOM:10 .= (a|^n) * a by BINOM:8;
  hence thesis;
end;
