
theorem Th36:
  for T being non empty 1-sorted for N being net of T, M being subnet of N
  for e being Embedding of M,N, i being Element of M holds M.i = N.(e.i)
proof
  let T be non empty 1-sorted;
  let N be net of T, M be subnet of N;
  let e be Embedding of M,N, i be Element of M;
  the mapping of M = (the mapping of N)*e by Def3;
  hence thesis by FUNCT_2:15;
end;
