0 | | inference rule with conclusion upper X and 1 premise | inference rule with conclusion stort X and 1 premise |
1 | AX | inference rule with conclusion upper X and 1 premise | inference rule with conclusion stort X and 1 premise |
2 | X | inference rule with conclusion upper X and 1 premise | inference rule with conclusion stort X and 1 premise |
3 | XN | inference rule label upper N with conclusion upper X and 1 premise | inference rule label stort N with conclusion stort X and 1 premise |
4 | A | axiom upper A | axiom stort A |
5 | | empty axiom | empty axiom |
6 | AXN | inference rule label upper N with conclusion upper X and 1 premise | inference rule label stort N with conclusion stort X and 1 premise |
7 | ABXN | inference rule label upper N with conclusion upper X and 2 premises | inference rule label stort N with conclusion stort X and 2 premises |
8 | ABCXN | inference rule label upper N with conclusion upper X and 3 premises | inference rule label stort N with conclusion stort X and 3 premises |
9 | NAX | inference rule label upper N with conclusion upper X and 1 premise | inference rule label stort N with conclusion stort X and 1 premise |
10 | NABX | inference rule label upper N with conclusion upper X and 2 premises | inference rule label stort N with conclusion stort X and 2 premises |
11 | NABCX | inference rule label upper N with conclusion upper X and 3 premises | inference rule label stort N with conclusion stort X and 3 premises |
12 | AX | 1st premise axiom upper A | 1. premise axiom stort A |
13 | ABX | 1st premise axiom upper A 2nd premise axiom upper B | 1. premise axiom stort A 2. premise axiom stort B |
14 | ABCX | 1st premise axiom upper A 2nd premise axiom upper B 3rd premise axiom upper C | 1. premise axiom stort A 2. premise axiom stort B 3. premise axiom stort C |