SHOW:
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1 | AND Intro | |
2 | A | |
3 | B | |
4 | ------ | |
5 | A ^ B | |
6 | - | |
6 | + | |
7 | AND Elim | |
8 | (A ^ B) | |
9 | ------- | |
10 | A or B | |
11 | - | |
11 | + | |
12 | OR Intro | |
13 | (~A -> B) | |
14 | --------- | |
15 | (A v B) | |
16 | - | |
16 | + | |
17 | OR Elim | |
18 | (A v B) | |
19 | (A -> C) | |
20 | (B -> C) | |
21 | --------- | |
22 | C | |
23 | - | |
23 | + | |
24 | IMPLY Intro | |
25 | A | |
26 | ---- | |
27 | B -> A | |
28 | - | |
28 | + | |
29 | IMPLY Elim | |
30 | (A -> B) | |
31 | A | |
32 | -------- | |
33 | B | |
34 | - | |
34 | + | |
35 | NOT Intro | |
36 | (A -> B) | |
37 | (A -> ~B) | |
38 | --------- | |
39 | ~A | |
40 | - | |
40 | + | |
41 | NOT Elim | |
42 | ~~A | |
43 | - | A |
43 | + | |
44 | A | |
45 | ============ | |
46 | & Conditional Proof, Universal Intro/Elim, Existential Intro/Elim, Identity Intro/Elim. |