Nasser permanently resigns after the 6 day war

Could anyone else take power ?
Um, well he was Vice President at the time of your PoD. I'm not an expert on modern Middle East history by any stretch, but I'm pretty sure that makes him next in line of succession.

So I was looking back at this, and I got this wrong - the actual VP of Egypt at the time Nasser was looking to resign was Zakaria Moheiddin, who (unlike Sabri) was decisively not pro Soviet, and even had many similar positions as Sadat (though they did also had power struggles between them). So it’s entirely possible the Corrective Revolution actually gets moved up TTL.
 
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