Taking a few mins to rethink about the whole thing. Basically when it's checked to us ip on river. We should first consider his entire range.

If we're ahead of more than half, we consider if we bet, can we beat half of his calling range.

If we're behind more than half of his range, we consider that if we bet, would he only call with less than half the range that is currently beating us.

Ok, that's my new conclusion lol

Please discuss.