Yep, checking my On-Site Guide, 1.0mm2 will carry 15A if "clipped direct", ie pinned directly to the surface of the wall, never running under floors or buried in plaster. "In free air" which is what a flex essentially is is essentially the same as "clipped direct", so a 13A flex to a portable appliance can be 1.0mm2, though I would prefer to de-rate it due to its structure undergoing flexation in use, and go back up to 1.5mm2 anyway.