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Cortinarius iodeoides
purple mushroom
woods
I believe this is a Cortinarius iodeoides.
I think that Lepista nuda has a more redish-purple color to it and Lactarius indigo has another shape. This leads me to think that this is Cortinarius violaceus.
I think it needs a shot of the underside (and maybe even a microscope) to identify it. It could be a purple Cortinarius species. I'm not sure whether Lepista nuda ever has this shade of purple but I guess it could be that also?