LSAT Conditional Logic Shorthand

If A, then B

If A→B and ~B→~A

A if B

B→A and ~A→~B

A only if B

A→B and ~B→~A

Only A are B

B→A and ~A→~B

Any A is/are B

A→B and ~B→~A

Every A is B

A→B and ~B→~A

No A is/are B

A→~B and B→~A

A cannot be B

A→~B and B→~A

Without A there can be no B

B→A and ~A→~B

A requires B

A→B and ~B→~A

In order for A to be true, B must be true

A→B and ~B→~A

A depends on B

A→B and ~B→~A

A happens whenever B happens

B→A and ~A→~B

No A unless B

A→B and ~B→~A

"If" is an indicator for the

Sufficient condition

"Only if" is an indicator for the

Necessary condition

If "only" takes the same meaning as "just" in a conditional, then

Just pretend there's an "if" and classify it as a Necessary Condition

If "only" does not take the same meaning as "just" in a conditional, then

It goes in the Sufficient Condition

A necessitates B

A→B and ~B→~A

No A is not a B

A→B and ~B→~A

A is a prerequisite/is essential for B

B→A and ~A→~B

A presupposes B

A→B and ~B→~A

If there's no B, then there's no A

~B→~A and A→B

A guarantees B

A→B and ~B→~A