Should the UK and France provide nuclear cover for Europe?

Both the UK and France have what is called a minimum nuclear deterrent. In other words, unlike the US and Russia which have several thousand nuclear warheads, the British and French arsenals have just enough to deter an enemy such as Russia (Uk, 225 and France, 290). But with the US under Donald Trump urging Europe to spend more and more on defence and not to rely on American to rush to their aid at every possible crisis moment, could and should the Brits and French restructure their nuke arsenals to provide a broad cover for Europe as a whole? It might sound relatively straightforward but of course it isn't. At what point, for example, would the UK and/or France decide it would be justified to threaten to fire nuclear missiles at Russia if Moscow invaded Poland or Latvia or Finland? At present the UK and France retain independent nuclear deterrents, ready to be used in the event of a possible crushing defeat in a conventional war. But the UK and France would not resort to the nuclear option unless the very existence of the two countries was at risk. It is, if you like, a selfish deterrent. It covers the sovereignty of the UK and France but not of the rest of Europe. The US, on the other hand, has committed its nuclear weapons to form a deterrent umbrella over the whole of the North American continent AND Europe. It's the ultimate protection. But now there has to be doubt about whether the Trump administration would launch anything nuclear if some part or all parts of Europe came under mass conventional or nuclear attack. Nuclear deterrence has a theology all of its own and it's changing fast. What we can't have is other members of Europe deciding to go nuclear, developing their own arsenals. That would lead to nuclear proliferation across the globe. For the UK and France to provide a European nuclear umbrella, both nations would need to double or triple their warhead arsenals. That would also lead to proliferation elsewhere and make the world an even more dangerous place. And the costs would be huge, albeit the rest of Europe would be expected to contribute financially. On the whole, it's not a good idea. Spend a lot more on conventional defence and create deterrence that way. BUY AGENT REDRUTH, MY NEW SPY THRILLER, SEE AMAZON, WATERSTONES, ROWANVALE BOOKS.