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Mirrors > Home > ILE Home > Th. List > rexxfr | Unicode version |
Description: Transfer existence from a variable to another variable contained in expression . (Contributed by NM, 10-Jun-2005.) (Revised by Mario Carneiro, 15-Aug-2014.) |
Ref | Expression |
---|---|
ralxfr.1 | |
ralxfr.2 | |
ralxfr.3 |
Ref | Expression |
---|---|
rexxfr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralxfr.1 | . . . 4 | |
2 | 1 | adantl 271 | . . 3 |
3 | ralxfr.2 | . . . 4 | |
4 | 3 | adantl 271 | . . 3 |
5 | ralxfr.3 | . . . 4 | |
6 | 5 | adantl 271 | . . 3 |
7 | 2, 4, 6 | rexxfrd 4213 | . 2 |
8 | 7 | trud 1293 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 wceq 1284 wtru 1285 wcel 1433 wrex 2349 |
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-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 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-nfc 2208 df-ral 2353 df-rex 2354 df-v 2603 |
This theorem is referenced by: (None) |
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