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| Mirrors > Home > ILE Home > Th. List > unrab | Unicode version | ||
| Description: Union of two restricted class abstractions. (Contributed by NM, 25-Mar-2004.) |
| Ref | Expression |
|---|---|
| unrab |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-rab 2492 |
. . 3
| |
| 2 | df-rab 2492 |
. . 3
| |
| 3 | 1, 2 | uneq12i 3324 |
. 2
|
| 4 | df-rab 2492 |
. . 3
| |
| 5 | unab 3439 |
. . . 4
| |
| 6 | andi 819 |
. . . . 5
| |
| 7 | 6 | abbii 2320 |
. . . 4
|
| 8 | 5, 7 | eqtr4i 2228 |
. . 3
|
| 9 | 4, 8 | eqtr4i 2228 |
. 2
|
| 10 | 3, 9 | eqtr4i 2228 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1469 ax-7 1470 ax-gen 1471 ax-ie1 1515 ax-ie2 1516 ax-8 1526 ax-10 1527 ax-11 1528 ax-i12 1529 ax-bndl 1531 ax-4 1532 ax-17 1548 ax-i9 1552 ax-ial 1556 ax-i5r 1557 ax-ext 2186 |
| This theorem depends on definitions: df-bi 117 df-tru 1375 df-nf 1483 df-sb 1785 df-clab 2191 df-cleq 2197 df-clel 2200 df-nfc 2336 df-rab 2492 df-v 2773 df-un 3169 |
| This theorem is referenced by: rabxmdc 3491 phiprmpw 12515 unennn 12739 znnen 12740 lgsquadlem2 15526 |
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