reserve S, R for 1-sorted,
  X for Subset of R,
  T for TopStruct,
  x for set;
reserve H for non empty multMagma,
  P, Q, P1, Q1 for Subset of H,
  h for Element of H;
reserve G for Group,
  A, B for Subset of G,
  a for Element of G;

theorem
  for f, g being Homeomorphism of T for a, b being Element of HomeoGroup
  T st f = a & g = b holds a * b = g * f by Def5;
