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Mirrors > Home > QLE Home > Th. List > dp34 | Unicode version |
Description: Part of theorem from Alan Day and Doug Pickering, "A note on the Arguesian lattice identity," Studia Sci. Math. Hungar. 19:303-305 (1982). (3)=>(4) |
Ref | Expression |
---|---|
dp34.1 | c0 a1 a2 b1 b2 |
dp34.2 | c1 a0 a2 b0 b2 |
dp34.3 | c2 a0 a1 b0 b1 |
dp34.4 | a0 b0 a1 b1 a2 b2 |
Ref | Expression |
---|---|
dp34 | a0 b1 c2 c0 c1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dp34.1 | . . . 4 c0 a1 a2 b1 b2 | |
2 | dp34.2 | . . . 4 c1 a0 a2 b0 b2 | |
3 | dp34.3 | . . . 4 c2 a0 a1 b0 b1 | |
4 | dp34.4 | . . . 4 a0 b0 a1 b1 a2 b2 | |
5 | 1, 2, 3, 4 | dp53 1168 | . . 3 a0 b0 b1 c2 c0 c1 |
6 | lear 161 | . . . 4 b0 b1 c2 c0 c1 b1 c2 c0 c1 | |
7 | 6 | lelor 166 | . . 3 a0 b0 b1 c2 c0 c1 a0 b1 c2 c0 c1 |
8 | 5, 7 | letr 137 | . 2 a0 b1 c2 c0 c1 |
9 | orass 75 | . . 3 a0 b1 c2 c0 c1 a0 b1 c2 c0 c1 | |
10 | 9 | cm 61 | . 2 a0 b1 c2 c0 c1 a0 b1 c2 c0 c1 |
11 | 8, 10 | lbtr 139 | 1 a0 b1 c2 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: dp41lema 1180 xdp41 1196 xxdp41 1199 xdp45lem 1202 xdp43lem 1203 xdp45 1204 xdp43 1205 3dp43 1206 |
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