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)abbrev package ITFUN2 InfiniteTupleFunctions2
++ Description:
++ Functions defined on streams with entries in two sets.

InfiniteTupleFunctions2(A,B) : SIG == CODE where
  A : Type
  B : Type

  IT   ==> InfiniteTuple

  SIG ==> with

    map : ((A -> B),IT A) -> IT B
      ++ \spad{map(f,[x0,x1,x2,...])} returns \spad{[f(x0),f(x1),f(x2),..]}.

  CODE ==> add

    map(f,x) ==
      map(f,x pretend Stream(A))$StreamFunctions2(A,B) pretend IT(B)