[bigstrat2003]

That makes no sense. For rules to have any meaning at all, there must be consequences to breaking them. If OP doesn't take away his daughter's Internet access when she breaks his trust, it will just teach her that there's no reason to follow his rules because it doesn't affect the outcome for her.

[tarsinge]

This is unfortunately a common fallacy: rules with consequences can encourage kids to lie, it’s inferior to trust, so let’s have no rules (and don’t say no) and talk through everything. Not only is not how kids brains grow, but inevitably the parents lack time to talk all day long and the kids end up on their own unprepared to face anything with consequences. This is a recipe for the behavior and anxiety problems that have become so common.