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I'm sure you'll be fine. Probably. They're just a bit delicate, and more so than the standard One in my experience.
Advice for next time you buy tires: If you want Pro One speed, but shed loads more grip and puncture proofing, then spend the money on IRC Formula Pro X-Guard (or the standard RBCC versions if you want something v slightly lighter). They're £50 a pop, but where I was getting unsealable punctures every fortnight or so on the Schwalbes, as in total ride-ending-nightmare-sealant-pissing-everywhere-jobs, I've had well over 1700km puncture free on the IRCs. Better in dry, wet, crap London roads - you name it, the IRCs smash the Schwalbes silly.
Sheeeeeit, well.. hope they go OK. I'll take a couple of tubes and a boot just in case. Got a set for a reasonable price so went for it. Amazingly easy setup I have to say - popped right into the rim with a normal track pump even without sealant.