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Given that I have been unable to find a way of doing this and no one else has explained how, I believe the answer to my question is that sage cannot recognise x = y as a symbolic solution to the positive integer equation x! = y!.

Given that I have been unable to find a way of doing this and no one else has explained how, I believe the answer to my question is that sage cannot recognise provide x = y as a symbolic solution to the positive integer equation x! = y!.