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Should you use noindex a page that has a re=canonical tag on it? The answer is no.
We covered this question a few years back but now Google's John Mueller gave a much more concise and clear answer.
In a Google+ thread, John Lincoln pasted a conversation he had with Google's John Mueller on the topic.
Question: Is it okay to have both a rel canonical and a no index no follow on the same page?
Answer: No, you should not combine the noindex with a rel-canonical pointing at an indexable URL. I'd pick one, but not both.
In 2009, John gave the same type of answer but more of a detailed response. John Lincoln posted his summary at his blog as well.
Forum discussion at Google+.
