"Source: Text/Commut/RngMPolLoc.text";
"Line: 1158";
"Date: Tue Jun  7 22:27:15 2016";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Commut/RngMPolLoc.text, line: 1158
// Example: H114E5 ()
print "Example: H114E5";
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);
