Red Spider Mites?

Are these red spider mites on this potted rose in my greenhouse?  Lots of dust-sized specs scurrying about through their webs.

I've taken the pot outside into the fresh air and given it a soaking.

Any suggestions, other than to nuke the greenhouse from orbit?

Thanks!

   

Leave it outside and spray regularly to keep up the humidity and you may get rid of them.

I put a spoonful of cooking oil and a spoonful of fairy liquid into a sprayer full of water today and gave the rose and the dahlia that was next to it a good soak. I also sprayed a couple of spare pepper plants to make sure that it doesn't hurt the plants, because there's some yellowing on all the peppers that I fear is down to the spiders as well.

If nothing dies in a few days I'll start regular repeat spraying and see what happens.