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Mirrors > Home > ILE Home > Th. List > rabxfr | Unicode version |
Description: Class builder membership after substituting an expression (containing ) for in the class expression . (Contributed by NM, 10-Jun-2005.) |
Ref | Expression |
---|---|
rabxfr.1 | |
rabxfr.2 | |
rabxfr.3 | |
rabxfr.4 | |
rabxfr.5 |
Ref | Expression |
---|---|
rabxfr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tru 1247 | . 2 | |
2 | rabxfr.1 | . . 3 | |
3 | rabxfr.2 | . . 3 | |
4 | rabxfr.3 | . . . 4 | |
5 | 4 | adantl 262 | . . 3 |
6 | rabxfr.4 | . . 3 | |
7 | rabxfr.5 | . . 3 | |
8 | 2, 3, 5, 6, 7 | rabxfrd 4201 | . 2 |
9 | 1, 8 | mpan 400 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wceq 1243 wtru 1244 wcel 1393 wnfc 2165 crab 2310 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 df-rab 2315 df-v 2559 |
This theorem is referenced by: (None) |
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