Logical Synonyms • Speed Exercise

if and only if A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B when and only when A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B if A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A if B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A when and only when B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B iff A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B only if A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A only if B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
only if A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
only if B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
iff B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
if A then, and only then, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
only when A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B but only if A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
only when B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
so long as A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
if and only if B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A when and only when B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B when and only when A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
only provided that A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A is necessary for B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B is necessary for A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B is essential for A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A, but only if B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B, but not unless A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A but not unless B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
for A, B is necessary
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
for B, A is necessary
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A but not unless B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B, but only if A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A but only if B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B is sufficient for A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A, given that B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A when B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
for B, A is sufficient
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
for A, B is sufficient
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A results in B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A is both necessary and sufficient for B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A leads to B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B is both necessary and sufficient for A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B is required for A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A is required for B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
a necessary condition for A, is B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
only when B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
if and only if B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A only in the event that B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A, but B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B, but A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B precisely if A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A precisely when B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A, moreover B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B, moreover A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
a sufficient condition for A, is B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A, nonetheless B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B, nevertheless A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B exactly if A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A exactly if B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
although A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
although B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
even though B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
exactly if A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
exactly when A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
precisely if B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
precisely when B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
precisely when A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
B just in case A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
A just in case B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
although A, B
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
although B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A
just in case B, A
1. A→B
2. B→A
3. A&B or B&A
4. A↔B or B↔A

Logical Synonyms • Speed Exercise

Answer as quickly as you can.