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"Their commitment could not be faulted today," Law said after the draw.
"We had to keep going. They had a lot of possession but they rarely put us under pressure."
Meanwhile, City have appealed to the Football Association about the player dismissals and Wirral official Mike Dean promised to look at the match video again.
Dean was spoken to for half-an-hour by referee's assessor George Courtenay, the former FIFA referee, after sending off Bower and Cadamarteri.
City's assistant manager Ian Banks was also sent from the dug-out for running out of the technical area to celebrate the equaliser.
"We've asked the referee to take the video away and look at it and he may change his mind. Whether he is courageous enough to do that, I don't know," said Law.
Dean was spoken to for half-an-hour by referee's assessor George Courtenay, the former FIFA referee, after sending off Bower and Cadamarteri.
City's assistant manager Ian Banks was also sent from the dug-out for running out of the technical area to celebrate the equaliser.
"We've asked the referee to take the video away and look at it and he may change his mind. Whether he is courageous enough to do that, I don't know," said Law.