Problem 1. |
Premise |
|
1 |
|
Iab&Sbc |
Premise |
|
2 |
|
(^x)(Sac>Z) |
1 &E |
|
3 |
|
Iab |
1 &E |
|
4 |
|
Sbc |
3 I2 |
|
5 |
|
Iba |
4,5 I4 |
|
6 |
|
Sac |
2 ^E |
|
7 |
|
Sac>Z |
6,7 >E |
|
8 |
|
Z |
|
Problem 2. |
Assumption |
|
1 |
|
....what if |
Iab |
1 I2 |
|
2 |
|
....then... |
Iba |
1-2 >I |
|
3 |
|
Iab>Iba |
|
Assumption |
|
4 |
|
....what if |
Iba |
4 I2 |
|
5 |
|
....then... |
Iab |
4-5 >I |
|
6 |
|
Iba>Iab |
|
3,6 =I |
|
7 |
|
Iab=Iba |
|
7 ^I |
|
8 |
|
(^y)(Iay=Iya) |
|
|
Problem 4. |
Premise |
|
1 |
|
Iab&Iba |
1 &E |
|
2 |
|
Iab |
|
|
3 |
|
|
|
|
4 |
|
|
|
|
5 |
|
|
|
|
6 |
|
|
~~~~ |
|
7 |
|
~ part II ~ |
Premise |
|
8 |
|
Iab |
8 I2 |
|
9 |
|
Iba |
|
|
10 |
|
|
|
|
11 |
|
|
8,9 &I |
|
12 |
|
Iab&Iba |
|