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D.7.3.14 SimplifyIdeal

Procedure from library rinvar.lib (see rinvar_lib).

Purpose:
simplify ideal I to the ideal I', do not change the names of the first m variables, new ideal I' might contain less variables. I' contains variables var(1..m)

Return:
list
_[1] ideal I'
_[2] ideal representing a map phi to a ring with probably less vars. s.th. phi(I) = I'
_[3] list of variables
_[4] list from 'elimpart'