Reducing mood 5 by converting the major

The Third Figure: Conditions and Six Productive Moods

The premises are:
All B are C.
Some B are A.

Convert the particular affirmative major to “Some A are B.” Then use:
Some A are B.
All B are C.
Therefore some A are C.

Converting that particular affirmative conclusion yields “Some C are A.” The proof uses conversion of the major, a first-figure syllogism, and conversion of its conclusion.