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)abbrev package COMPLEX2 ComplexFunctions2
++ Description:
++ This package extends maps from underlying rings to maps between
++ complex over those rings.

ComplexFunctions2(R, S) : SIG == CODE where
  R : CommutativeRing
  S : CommutativeRing

  SIG ==> with

    map : (R -> S, Complex R) -> Complex S
      ++ map(f,u) maps f onto real and imaginary parts of u.

  CODE ==> add

    map(fn, gr) == complex(fn real gr, fn imag gr)