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Mirrors > Home > QLE Home > Th. List > u4lemob | Unicode version |
Description: Lemma for non-tollens implication study. |
Ref | Expression |
---|---|
u4lemob |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-i4 47 | . . 3 | |
2 | 1 | ax-r5 38 | . 2 |
3 | or32 82 | . . 3 | |
4 | lear 161 | . . . . . . 7 | |
5 | lear 161 | . . . . . . 7 | |
6 | 4, 5 | lel2or 170 | . . . . . 6 |
7 | 6 | df-le2 131 | . . . . 5 |
8 | 7 | ax-r5 38 | . . . 4 |
9 | comorr2 463 | . . . . . 6 | |
10 | comid 187 | . . . . . . 7 | |
11 | 10 | comcom2 183 | . . . . . 6 |
12 | 9, 11 | fh3 471 | . . . . 5 |
13 | or12 80 | . . . . . . . 8 | |
14 | oridm 110 | . . . . . . . . 9 | |
15 | 14 | lor 70 | . . . . . . . 8 |
16 | 13, 15 | ax-r2 36 | . . . . . . 7 |
17 | df-t 41 | . . . . . . . 8 | |
18 | 17 | ax-r1 35 | . . . . . . 7 |
19 | 16, 18 | 2an 79 | . . . . . 6 |
20 | an1 106 | . . . . . 6 | |
21 | 19, 20 | ax-r2 36 | . . . . 5 |
22 | 12, 21 | ax-r2 36 | . . . 4 |
23 | 8, 22 | ax-r2 36 | . . 3 |
24 | 3, 23 | ax-r2 36 | . 2 |
25 | 2, 24 | ax-r2 36 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wt 8 wi4 15 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a4 33 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 ax-r3 439 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i4 47 df-le1 130 df-le2 131 df-c1 132 df-c2 133 |
This theorem is referenced by: u4lemnanb 658 |
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