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Mirrors > Home > QLE Home > Th. List > u3lemnana | Unicode version |
Description: Lemma for Kalmbach implication study. |
Ref | Expression |
---|---|
u3lemnana |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | u3lemoa 622 | . . . 4 | |
2 | ax-a2 31 | . . . . . 6 | |
3 | anor3 90 | . . . . . . . 8 | |
4 | anor2 89 | . . . . . . . 8 | |
5 | 3, 4 | 2or 72 | . . . . . . 7 |
6 | oran3 93 | . . . . . . 7 | |
7 | 5, 6 | ax-r2 36 | . . . . . 6 |
8 | 2, 7 | ax-r2 36 | . . . . 5 |
9 | 8 | lor 70 | . . . 4 |
10 | 1, 9 | ax-r2 36 | . . 3 |
11 | oran 87 | . . 3 | |
12 | oran1 91 | . . 3 | |
13 | 10, 11, 12 | 3tr2 64 | . 2 |
14 | 13 | con1 66 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wi3 14 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 |
This theorem depends on definitions: df-a 40 df-i3 46 df-le1 130 df-le2 131 |
This theorem is referenced by: u3lem13a 789 u3lem13b 790 |
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