reserve x,y,z for object, X for set, I for non empty set, i,j for Element of I,
    M0 for multMagma-yielding Function,
    M for non empty multMagma-yielding Function,
    M1, M2, M3 for non empty multMagma,
    G for Group-like multMagma-Family of I,
    H for Group-like associative multMagma-Family of I;
reserve p, q for FinSequence of FreeAtoms(H), g,h for Element of H.i,
  k for Nat;
reserve s,t for Element of FreeProduct(H);

theorem Th62:
  nf 1_FreeProduct(H) = {}
proof
  set p = <*>FreeAtoms(H);
  1_FreeProduct(H) = Class(EqCl ReductionRel H,p) by Th45;
  hence nf 1_FreeProduct(H) = nf(p,ReductionRel H) by Th59
    .= {} by Th37, MSAFREE4:17;
end;
