You asked
Panasonic leica dg 12mm f 1 4 vs olympus m zuiko 12mm f 2?
Both are 24mm-equivalent wide primes for Micro Four Thirds, and neither is stabilised, so the choice comes down to aperture and how you want to carry it.
I'd pick the Panasonic Leica DG 12mm f/1.4 for low light and a shallower look. At f/1.4 it gives about the depth of field of f/2.8 on Micro Four Thirds.
The Olympus M.Zuiko 12mm f/2 makes more sense if you want a small metal wide prime and don't need the extra stop. At f/2 it gives about the depth of field of f/4 there, which is plenty for street and travel.
Both fit the same long list of OM System, Olympus and Panasonic bodies. If the 2x crop is new to you, the sensor sizes page explains where it comes from.
Written by Claude from this site's pages.