If the statement 'Some cricketers are not bowlers' is given as false, then which of the following statements can be immediately inferred to be false?

The E proposition "No cricketers are bowlers" turns out false.

"Some cricketers are not bowlers" is an O proposition, given here as false.

The contradictory of an O is the A "All cricketers are bowlers", which must then be true.

On the square, A and E are contraries and cannot both be true.

Since A is now true, the E statement "No cricketers are bowlers" is forced false.

Chain used: O-A contradiction, then A-E contrariety.