Quantum Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > QLE Home > Th. List > dp35lembb | Unicode version |
Description: Part of proof (3)=>(5) in Day/Pickering 1982. |
Ref | Expression |
---|---|
dp35lem.1 | c0 a1 a2 b1 b2 |
dp35lem.2 | c1 a0 a2 b0 b2 |
dp35lem.3 | c2 a0 a1 b0 b1 |
dp35lem.4 | p0 a1 b1 a2 b2 |
dp35lem.5 | a0 b0 a1 b1 a2 b2 |
Ref | Expression |
---|---|
dp35lembb | b0 a0 p0 b0 b1 a0 a1 c0 c1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dp35lem.1 | . . 3 c0 a1 a2 b1 b2 | |
2 | dp35lem.2 | . . 3 c1 a0 a2 b0 b2 | |
3 | dp35lem.3 | . . 3 c2 a0 a1 b0 b1 | |
4 | dp35lem.4 | . . 3 p0 a1 b1 a2 b2 | |
5 | dp35lem.5 | . . 3 a0 b0 a1 b1 a2 b2 | |
6 | 1, 2, 3, 4, 5 | dp35lemd 1172 | . 2 b0 a0 p0 b0 a0 b0 b1 c2 c0 c1 |
7 | 1, 2, 3, 4, 5 | dp35lemc 1173 | . . 3 b0 a0 b0 b1 c2 c0 c1 b0 b1 c2 c0 c1 |
8 | 1, 2, 3, 4, 5 | dp35lemb 1174 | . . 3 b0 b1 c2 c0 c1 b0 b1 a0 a1 c0 c1 |
9 | 7, 8 | tr 62 | . 2 b0 a0 b0 b1 c2 c0 c1 b0 b1 a0 a1 c0 c1 |
10 | 6, 9 | lbtr 139 | 1 b0 a0 p0 b0 b1 a0 a1 c0 c1 |
Colors of variables: term |
Syntax hints: wb 1 wle 2 wo 6 wa 7 |
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-ml 1120 ax-arg 1151 |
This theorem depends on definitions: df-a 40 df-t 41 df-f 42 df-le1 130 df-le2 131 |
This theorem is referenced by: dp35lema 1176 |
Copyright terms: Public domain | W3C validator |