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Mirrors > Home > ILE Home > Th. List > xpeq12i | Unicode version |
Description: Equality inference for cross product. (Contributed by FL, 31-Aug-2009.) |
Ref | Expression |
---|---|
xpeq12i.1 | |
xpeq12i.2 |
Ref | Expression |
---|---|
xpeq12i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xpeq12i.1 | . 2 | |
2 | xpeq12i.2 | . 2 | |
3 | xpeq12 4382 | . 2 | |
4 | 1, 2, 3 | mp2an 416 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1284 cxp 4361 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-opab 3840 df-xp 4369 |
This theorem is referenced by: xpssres 4663 imainrect 4786 cnvssrndm 4862 |
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