Quantum Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > QLE Home > Th. List > wledi | Unicode version |
Description: Half of distributive law. |
Ref | Expression |
---|---|
wledi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anidm 111 | . . . 4 | |
2 | 1 | bi1 118 | . . 3 |
3 | 2 | wr1 197 | . 2 |
4 | wlea 388 | . . . . 5 | |
5 | wlea 388 | . . . . 5 | |
6 | 4, 5 | wle2or 403 | . . . 4 |
7 | oridm 110 | . . . . 5 | |
8 | 7 | bi1 118 | . . . 4 |
9 | 6, 8 | wlbtr 398 | . . 3 |
10 | ancom 74 | . . . . . 6 | |
11 | 10 | bi1 118 | . . . . 5 |
12 | wlea 388 | . . . . 5 | |
13 | 11, 12 | wbltr 397 | . . . 4 |
14 | ancom 74 | . . . . . 6 | |
15 | 14 | bi1 118 | . . . . 5 |
16 | wlea 388 | . . . . 5 | |
17 | 15, 16 | wbltr 397 | . . . 4 |
18 | 13, 17 | wle2or 403 | . . 3 |
19 | 9, 18 | wle2an 404 | . 2 |
20 | 3, 19 | wbltr 397 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wo 6 wa 7 wt 8 wle2 10 |
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-wom 361 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i1 44 df-i2 45 df-le 129 df-le1 130 df-le2 131 |
This theorem is referenced by: wfh1 423 wfh2 424 |
Copyright terms: Public domain | W3C validator |