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The best way to get away with it would be to have a general election and win - risky but likely.
Have an election quickly and claim that you wish to have 'a democratic mandate', while the real motivation would be to get it in before all those promises are obviously broken, and the opposition is disorganised. Corbyn won't be Labour leader for ever!
Whatever the outcome, he's now guaranteed the Prime Minister's (substantial) pension for life.
There are two good things to be said about Boris:
Brexit - He is an habitual breaker of his own promises, so there must be a good chance he'll break his promise to the party members. When challenged he may well say: Oh well, I always knew it was impossible to leave on 31st October, I just promised that so as to get elected.
The Tory Party - He is the man best qualified to destroy the Tories for ever.