So Jeremy Corbyn is not going anywhere.
At least, he won't face a leadership challenge from his opponents in the party as a result of these elections.
Were they great for Labour? No.
But they were not, in England at least, a disaster.
Labour kept councils like Southampton and Crawley, when they could have lost them.
An opposition party traditionally does better in these sort of elections: winning seats rather than losing some.
But Labour could have lost a lot more.
As voters told me in Southampton yesterday, they were voting Labour despite Jeremy Corbyn, not because of him.
And - we will see later - Labour's candidate for London Mayor is expected to be victorious.
As one Labour MP who is opposed to Mr Corbyn just texted me: he has until next year to prove he can win the General Election in 2020.
In other words, talk of a leadership challenge has subsided.
Probably for another year, when voters can again pass verdict on Mr Corbyn.
The knives will have to be put away for now.