What is justice according to Thrasymachus in Book I? What is Plato’s (through Socrates) eventual argument about what justice actually is?

• What is justice according to Thrasymachus in Book I? What is Plato’s (through Socrates) eventual argument about what justice actually is? Taking into account these definitions, has Socrates proven his point that being unjust is worse than being just? (Republic, I & IV, also see Book IX)

What is justice according to Thrasymachus in Book I? What is Plato’s (through Socrates) eventual argument about what justice actually is?
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