I believe what you're talking about is perfectly fine, parrro2. However, be aware that there are two ways to hook up the GFCI, one will kill the lights when it trips, the other will not.
Ban All Sheds, we usually only use GFCI protection in the US where it's required. GFCIs have a bad habit of nuisance tripping (especially when motors are connected to them) and it's a pain to reset all the clocks.
Breezer, #12 wire (12AWG, American wire Gauge) is roughly the same as your 4mm and is rated at 25Amps. Most residential wiring is done with 12 or 14 Gauge wire in the US, since our breakers are generally rated at 15 or 20A.
I'm going to have to agree, by the way, that 110 is less dangerous (lethal is an absolute, it doesn't come in degrees!) than 220, although it is still lethal in bad conditions. The difference is it's easier to create a bad condition with higher voltage.
Also Ban All Sheds, while you can get individual circuit breakers that are GFCI protected, the main breaker at the circuit breaker panel infeed, to the best of my knowledge, is not available in GFCI style.
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I had a correction listed above to what I wrote, but it turns out I was right in the first place, it's fine to hook up lighting fixtures off the same circuit as an outlet.