A conditional statement is an "If . . ., then _ _ _" statement.
The ". . ." part is the antecedent.
The "_ _ _" part is the consequent.
A conditional statement does not assert the consequent; it asserts only that if the antecedent is true, so is the consequent.
Examples:
"If my offense was unintentional, then you ought not to have brought me before the court." (Cf. IP3 15a)
"If Socrates drives the youth away, then their elders will drive Socrates away at their request." (Cf. IP3 18a)
"If Socrates lets the youth come, then their fathers and friends will drive Socrates out for their sake." (Cf. IP3 18a)
"If X is in motion, then something moved X."