Русско-англо-русский юридический словарь

Same-sex female couples will be able to register both their names on a child’s birth certificate to affirm their parental rights under a new Bill being introduced by the Government. (The Irish Times)

What does "upheld" mean, in terms of the law?

Generally it is used with respect to a higher court (appeals court, Supreme Court) affirms a lower court's judgment in a given case.

There are three main categories of actions an appellate court can take with respect to an appealed case: uphold, overturn and remand. (Quora)

Affirm shares soar nearly 47% after Amazon partnership that lets consumers buy expensive things in installments. (CNBC)