One alternative of a larger disjunction may be “If the sun rises, daylight exists.” The other may be “If the sun rises, daylight does not exist.”
First alternative: a connected conditional, with its own antecedent and consequent.
Second alternative: another connected conditional.
The outer “or” joins these complete conditionals to form a disjunction of two connected conditionals. The outer statement is disjunctive even though each internal component is connected.