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Mirrors > Home > QLE Home > Th. List > nom40 | Unicode version |
Description: Part of Lemma 3.3(15) from "Non-Orthomodular Models..." paper. |
Ref | Expression |
---|---|
nom40 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nom10 307 | . 2 | |
2 | ax-a2 31 | . . . 4 | |
3 | ax-a1 30 | . . . . 5 | |
4 | ancom 74 | . . . . . . 7 | |
5 | anor3 90 | . . . . . . 7 | |
6 | 4, 5 | ax-r2 36 | . . . . . 6 |
7 | 6 | ax-r1 35 | . . . . 5 |
8 | 3, 7 | 2or 72 | . . . 4 |
9 | 2, 8 | ax-r2 36 | . . 3 |
10 | df-i0 43 | . . 3 | |
11 | df-i0 43 | . . 3 | |
12 | 9, 10, 11 | 3tr1 63 | . 2 |
13 | i2i1 267 | . 2 | |
14 | 1, 12, 13 | 3tr1 63 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wi0 11 wi1 12 wi2 13 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 |
This theorem depends on definitions: df-a 40 df-i0 43 df-i1 44 df-i2 45 |
This theorem is referenced by: (None) |
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