"Source: Text/Commut/RngMPolLoc.text";
"Line: 1158";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Commut/RngMPolLoc.text, line: 1158
// Example: H117E5 ()
print "Example: H117E5";
ei := GetEchoInput();
SetEchoInput(true);
R<x,y,z> := LocalPolynomialRing(RationalField(), 3);
I := ideal<R | (x + y)^3, (y - z)^2, y^2*z + z>;
NormalForm(y^2*z + z, I);
assert $1 eq 0;
NormalForm(x^3, I);
x + y in I;
assert not $1;
SetEchoInput(ei);
