In Photos Library, duplicate photos of different resolution
I recently imported my iPhotos library into Photos, so as to start weaning myself away from iPhoto and into Photos. In my library (and in my iPhotos Album of events) I am seeing duplicate photos, with one photo at higher resolution, and the other at lower resolution, with the automatic tag "photo stream." I am NOT using iCloud as a photo backup (cannot afford to pay for it).
Would it be okay to delete the lower resolution photo? I assume that is the version of the photo in Photo Stream on my iPhone and iPad, so maybe not. I find this very confusing. Thanks for helping me.
MacBook Pro (15-inch Late 2011), OS X El Capitan (10.11.5)