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I have so many questions about that sherlock episode.

First of all how did sherlock know that the mayfly man was going to be at the wedding just from the fact that a woman the mayfly man slept with for one night at some point had seen a wedding invitation from Watson?

Second of all how did Sherlock know the mayfly man was there to kill someone and not to just con more women?

Thirdly how did Sherlock know that the mayfly man was also the "invisible man" that had killed the black soldier guy? There is next to nothing linking the mayfly man and the invisible man.