@McTag,
McTag wrote:Because of one action or event, the resulting action is greater.
This is the essence of it: we use 'the' before a comparative adverb or adjective to link a cause and an effect. We can use 'all' 'any' or 'more' as modifiers:
Oh! What big eyes you have, Grandma!" said Little Red Riding Hood. "All the better to see you with", said the wolf.
The robbery was all the more distressing because the robbers broke up a lot of our furniture.
Sunday mornings were all the more enjoyable because Susie used to come around to breakfast.
That murder attempt made it all the more important to seek police protection.
He doesn’t seem to be any the better for his experience.
He explained everything carefully, but I was none the wiser.