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initial version

If you remove the comment, you have to replace sgn(SGN) with sgn(SGN(x)).

For me, the problem is in:

show(SGN.parent())

That prints SR, while we have:

SGN.parent()
Callable function ring with argument x

SGN(x).parent()
Symbolic Ring
click to hide/show revision 2
No.2 Revision

If you remove the comment, you have to replace sgn(SGN) with sgn(SGN(x)).

For me, the problem is in:

show(SGN.parent())

That prints (LaTeX) SR, while we have:

SGN.parent()
Callable function ring with argument x

SGN(x).parent()
Symbolic Ring