Come on, stick to the actual claims, don't make up strawmen scenarios.
Jeremy isn't claiming 50% of the company, he is claiming 50% of Kyle's share, minus whatever Kyle would be given in exchange for the $100k he put in.
Noone is saying that Jeremy is entitled to that share because of a month of work. Jeremy is claiming that Kyle promised him a 50/50 split, and that their YC application video is a writing of this promise. And if that's the case, then the magnitude of Jeremy's effort doesn't matter legally.
Jeremy isn't claiming 50% of the company, he is claiming 50% of Kyle's share, minus whatever Kyle would be given in exchange for the $100k he put in.
Noone is saying that Jeremy is entitled to that share because of a month of work. Jeremy is claiming that Kyle promised him a 50/50 split, and that their YC application video is a writing of this promise. And if that's the case, then the magnitude of Jeremy's effort doesn't matter legally.