reserve T,U for non empty TopSpace;
reserve t for Point of T;
reserve n for Nat;
reserve T for TopStruct;
reserve f for PartFunc of R^1, T;
reserve c for Curve of T;

theorem Th24:
  dom c c= REAL & rng c c= [#]T
  proof
    reconsider f = c as parametrized-curve PartFunc of R^1, T by Th23;
    dom f c= [#]R^1 & rng f c= [#]T;
    hence thesis by TOPMETR:17;
  end;
