I don't believe those things are objectively true. Outside of other humans nobody cares about those things. And you don't need to search far to find people who clearly don't believe the first one when the humans are their out-group. Or to see the second belief being applied very differently on both sides of an abortion debate.

I do think society works better if we assume these things to be rules (to a degree) and as a member of society I act (and benefit) accordingly, but objectively it doesn't matter at all. The beliefs you mention are a lot like belief in 'free will' in that regard, a convenient fiction.