Thanks Marty, Widemouthfrog and Jackwhoo,
I would like to have tried the trolley jack method - ingeneous.
I also have a compressor but don't really know how to apply it to the situation (having used it solely to spray waxoil antirust treatment and blow up the odd tyre).
I would also have been quite happy to invest in the impact driver.
However before I came across your kind suggestions I had to drop my Mazda 5 (sorry) into my local exhaust shop. They quoted me £3 more to supply and fit than I could get the parts for. I asked them for suggestions but they had none other than those I'd already tried. It came to me on my walk back. As I've bought so many cobalt drills (to drill wheelbolts out ) why not drill side of nut off, being careful not to damage the shaft thread?
After some resistance - voila! One mangled nut (glad I ordered another one already) but an undone mangled nut.
Now to follow your advice on removing lower arm.
Photos to follow.
Thanks again.