"Source: Text/Commut/RngDiff.text";
"Line: 2529";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Commut/RngDiff.text, line: 2529
// Example: H121E45 ()
print "Example: H121E45";
ei := GetEchoInput();
SetEchoInput(true);
F<z> := RationalDifferentialField(Rationals());
R<D> := DifferentialOperatorRing(F);
transmap := TranslationMap(R, 2 + z);
Codomain(transmap) eq R;
transmap(D);
transmap(D^2);
P<T> := PolynomialRing(F);
M<u>, mp := ext<F|T^2+z>;
liftmap := LiftMap(mp, R);
Rprime<Dprime> := Codomain(liftmap);
IsDifferentialOperatorRing(Rprime);
assert $1;
BaseRing(Rprime) eq M;
assert $1;
liftmap(D);
liftmap(R!z);
Derivation(Rprime)(liftmap(z));
assert $1 eq 1;
Derivation(Rprime)(u);
SetEchoInput(ei);
