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Mirrors > Home > ILE Home > Th. List > xpeq12 | Unicode version |
Description: Equality theorem for cross product. (Contributed by FL, 31-Aug-2009.) |
Ref | Expression |
---|---|
xpeq12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xpeq1 4548 | . 2 | |
2 | xpeq2 4549 | . 2 | |
3 | 1, 2 | sylan9eq 2190 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wceq 1331 cxp 4532 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-opab 3985 df-xp 4540 |
This theorem is referenced by: xpeq12i 4556 xpeq12d 4559 xpid11 4757 xp11m 4972 txtopon 12420 txbasval 12425 ismet 12502 isxmet 12503 |
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