Just an update because I was not clear in my other message:

> The real issue is the FinitePoset code:

The actual bug I reported was created by #12536
(http://trac.sagemath.org/ticket/12536).

Indeed, it is incorrect to relabel the (automatically computed) linear
extension of a Poset A  (when A is relabelled into B) for the
relabelled linear extension is *NOT* necessarily equal to the
(automatically computed) linear extension of B.

The reason why I cannot fix the bug, however, is because of a bad
design that appeared before.

Nathann

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