Common Conditional Statements

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Last updated 5:34 PM on 7/14/26
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17 Terms

1
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A is always B

A→B&~B→~A

2
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A if B

B→A&~A→~B

3
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If A, then neither B nor C

A→~B and ~C&B or C→~A

4
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If A, then B

A→B&~B→~A

5
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All A are B

A→B&~B→~A

6
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Every A is B

A→B&~B→~A

7
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A, if and only if, B

A→B&B→A

8
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A, if but only if, B

A→B&B→A

9
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Without A, no B

B→A&~A→~B

10
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If A, then not B

A→~B&B→~A

11
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No A are B

A→~B&B→~A

12
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Only A are B

B→A&~A→~B

13
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No A without B

A→B&~B→~A

14
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A unless B

~B→A&~A→B

15
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No A unless B

A→B&~B→~A

16
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A only if B

A→B&~B→~A

17
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The only A are B

A→B&~B→~A