1. special conditions
Pamela Leutwyler

2. A B
general diagram

3. special condition:
A  B A B

4. special condition:
A  B A B A

5. A  B = ________ A  B = ________ A'  B = ________ B
problem:
If A  B then:
A  B = ________
A  B = ________
A'  B = ________ B A
A  B ' = ________

6. A  B = ________ A  B = ________ A'  B = ________ B
problem:
If A  B then:
A  B = ________
A  B = ________
A'  B = ________ B A 3 1 2
A  B ' = ________

7. A  B = ________ 1 A  B = ________ A'  B = ________ B
problem:
If A  B then:
A  B = ________ 1
A  B = ________
A'  B = ________ B A 3 1 2
A  B ' = ________

8. A  B = ________ 1 1,2 A  B = ________ A'  B = ________ B
problem:
If A  B then:
A  B = ________ ,2
A  B = ________
A'  B = ________ B A 3 1 2
A  B ' = ________

9. A  B = __A_____ 1  1,2 = 1 A  B = ________ A'  B = ________ B
problem:
If A  B then:
A  B = __A_____
1  1,2 = 1
A  B = ________
A'  B = ________ B A 3 1 2
A  B ' = ________

10. A  B = __A_____ A  B = ___B_____ A'  B = ___U_____ B
problem:
If A  B then:
A  B = __A_____
A  B = ___B_____
A'  B = ___U_____ B A 3 1 2
A  B ' = ________

12. A B
general diagram

13. special condition:
A  B =  A B

14. A  B ' = ________ A'  B = ________ A'  B' = ________ A B problem:
If A  B =  then :
A  B ' = ________
A'  B = ________
A'  B' = ________ A B

15. A  B ' = ________ A'  B = ________ A'  B' = ________ A B problem:
If A  B =  then :
A  B ' = ________
A'  B = ________
A'  B' = ________ A B 1 3 2

16. A  B ' = ___A_____ A'  B = ____A'____ A'  B' = ___U_____ A B
problem:
If A  B =  then :
A  B ' = ___A_____
A'  B = ____A'____ A
A'  B' = ___U_____ B 1 3 2

18. If A  B =  and C  B then A' B = _____

19. If A  B =  and C  B then A' B = _____

20. If A  B =  and C  B then A' B = _____

21. If A  B =  and C  B then A' B = _____3 C 1 4 2

22. If A  B =  and C  B then A' B = _____ 2,3,41 1 4 2

23. If A  B =  and C  B then A' B = _____ 2,3,4  3,41 1 4 2

24. If A  B =  and C  B then A' B = __B___ 2,3,4  3,4 = 3,41 1 4 2

26. the CONTRAPOSITIVE LAW:
If A  B then B A

27. the CONTRAPOSITIVE LAW:
If A  B then
B'  B A

28. the CONTRAPOSITIVE LAW:
If A  B then
B'  A' B A

29. the CONTRAPOSITIVE LAW:
If A  B then
B'  A' 2 B A 1 3

30. the CONTRAPOSITIVE LAW:
If A  B then
B'  A'
1  1,2 2 B
3  2,3 A 1 3

32. If A'  B =  and A  C' then C' B = _____

33. If A'  B =  and A  C' then C' B = _____

34. If A'  B =  and A  C' then C' B = _____
is equivalent to A' B

35. If A'  B =  and A  C' then C' B = _____ C  A'
is equivalent to A' B C

36. If A'  B =  and A  C' then C' B = _____ C  A'
is equivalent to A' B 2 C 4 1 3

37. If A'  B =  and A  C' then C' B = _____ C  A'
2,3,4
is equivalent to A' B 2 C 4 1 3

38. If A'  B =  and A  C' then C' B = _____ C  A'
2,3,
is equivalent to A' B 2 C 4 1 3

39. If A'  B =  and A  C' then C' B = _B____ C  A'
2,3,4  4=
is equivalent to A' B 2 C 4 1 3