10ga would run 14A.
If it's 4ga, it seems though it would be safe. Your only issue is, tapping into 4ga is really a huge PITA. When I do it, I usually cut the wire, strip about 1" from both ends, grab a 2 or 4ga ring terminal (solder type); cut the terminal off, so you're left with a band, split open the band. I then use that band to clamp the twisted ends together (In-line). Now this is where it gets tricky... coat the union with flux... next I pull out the torch; usually a small butane torch, but if you've got a propane torch with more of a needle flame as opposed to the typical soldering wide flame... that will work quicker (I go straight to the propane torch these days for 6ga and higher butt splices; but I've got a pretty good hand). Trick is to rotate the sides you're applying the heat to and don't give it constant heat; if you do you'll either melt or burn the insulation. Once it's hot enough, using silver solder, fully solder the joint. With this size wire, it will take a substantial amount of solder. But once you've got it fully soldered, make sure there aren't any droplets hanging on. Let it cool, clean it up with some flux remover or contact cleaner. Then seal it up with the liquid electrical tape/shrink wrap or the glue lined shrink wrap. (you'll end up with one side having just your 4ga wire and the other, 4ga wire and your tap wire)
That, is in my opinion... the only way to tap wire, and the improvised clamp is pretty much mandatory with anything bigger than 6ga wire or it won't stay together and you'll end up with a hodgpodge of wire and solder that looks like a$$.
HUGE PITA... if you can find some kind of bus bar that the 4ga wire runs to, that is without a doubt the ideal solution.
AND as a bonus... another option that I use rarely... you can strip about 2" of insulation from the 4ga wire, about 2" from the tap wire... wrap the tap wire around the exposed 4ga. Solder together with silver solder. Coat exposed wire and 1/2" of insulation with liquid electrical tape, might have to do it twice. Then wrap with electrical tape once dry. If you can get the shrink-wrap electrical tape (yeah, they make it...)... that would work. But the stuff is very heat sensitive; too much and it melts, not enough and it doesn't do a damned thing... It's expensive too. This would work for your tap... but, the prior explained method does provide a better connection.