/usr/share/axiom-20170501/src/algebra/NSUP2.spad is in axiom-source 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23  | )abbrev package NSUP2 NewSparseUnivariatePolynomialFunctions2
++ Description:
++ This package lifts a mapping from coefficient rings R to S to
++ a mapping from sparse univariate polynomial over R to
++ a sparse univariate polynomial over S.
++ Note that the mapping is assumed
++ to send zero to zero, since it will only be applied to the non-zero
++ coefficients of the polynomial.
NewSparseUnivariatePolynomialFunctions2(R,S) : SIG == CODE where
  R : Ring
  S : Ring
  SIG ==> with
    map : (R->S,NewSparseUnivariatePolynomial R) -> NewSparseUnivariatePolynomial S
      ++ \axiom{map(func, poly)} creates a new polynomial by applying func to
      ++ every non-zero coefficient of the polynomial poly.
  CODE ==> add
    map(f, p) == map(f, p)$UnivariatePolynomialCategoryFunctions2(R,
             NewSparseUnivariatePolynomial R, S, NewSparseUnivariatePolynomial S)
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