Euthyphro's initial description of piety was what he was performing right now, which is accusing his father of manslaughter.
Socrates rejects Euthyphro's definition, because it is not a definition of piety, and is only an example of piety, and does not provide the essential characteristic that makes pious actions pious.
Socrates challenges Euthyphro to show that the gods would mostly concur that Euthyphro is right to accuse his father of willfully abandoning a man to perish from exposure after that guy had killed another person in a fit of intoxication.
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