So if the Divine Right of Kings has gone, the removal of their lineal succession is enforced when they abdicate? Because that's what you originally said and I can't find a single document anywhere that backs that up. Not saying you're wrong, just saying it's a very little known rule.
OK... so you're saying that abdication precludes the descendant(s) of the abdicating monarch from inheriting the throne in the English monarchy, but not elsewhere? You're certain this is a rule and not just an option for the person abdicating?