I have no reason to disbelieve fullfact. They are an independent charity set up to check the facts of everything politicians say, and have been doing so for six years.
Their research department is used by all parties. They have been on stage at some of these debates.
"Full Fact is the UK’s independent, non-partisan, factchecking charity. We check claims made by politicians, the media, pressure groups, and other voices in public debate, and push for corrections where necessary. We also work with government departments and academic research institutions to improve the quality and communication of technical information at source, and campaign for greater transparency in the public arena.
We don’t support any view or political party. Our mission is to improve the quality of public debate, and to equip the public with the best information possible to make up their own minds. We provide links to all our sources so that you don’t have to take our word for anything – you can also check for yourself.
Our commitment to transparency extends to our funding.
Full Fact was founded in 2010 as a three person operation. Since then we have published thousands of factchecks, secured corrections from every major newspaper and from politicians across the political spectrum (including the Prime Minister), and worked with broadcasters to factcheck live events, such as BBC Question Time and leaders’ debates."
Do you disagree with them? Do you know better than them?