Quantum Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > QLE Home > Th. List > salem1 | Unicode version |
Description: Lemma for attempt at Sasaki algebra. |
Ref | Expression |
---|---|
salem1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | u1lemob 630 | . . . . . 6 | |
2 | 1 | ax-r4 37 | . . . . 5 |
3 | anor1 88 | . . . . . 6 | |
4 | 3 | ax-r1 35 | . . . . 5 |
5 | 2, 4 | ax-r2 36 | . . . 4 |
6 | 1 | ran 78 | . . . . 5 |
7 | ax-a2 31 | . . . . . . 7 | |
8 | 7 | ran 78 | . . . . . 6 |
9 | ancom 74 | . . . . . 6 | |
10 | 8, 9 | ax-r2 36 | . . . . 5 |
11 | anabs 121 | . . . . 5 | |
12 | 6, 10, 11 | 3tr 65 | . . . 4 |
13 | 5, 12 | 2or 72 | . . 3 |
14 | ax-a2 31 | . . 3 | |
15 | 13, 14 | ax-r2 36 | . 2 |
16 | df-i1 44 | . 2 | |
17 | df-i2 45 | . 2 | |
18 | 15, 16, 17 | 3tr1 63 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wi1 12 wi2 13 |
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-i1 44 df-i2 45 df-le1 130 df-le2 131 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |