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Mirrors > Home > ILE Home > Th. List > dfrab3 | Unicode version |
Description: Alternate definition of restricted class abstraction. (Contributed by Mario Carneiro, 8-Sep-2013.) |
Ref | Expression |
---|---|
dfrab3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rab 2315 | . 2 | |
2 | inab 3205 | . 2 | |
3 | abid2 2158 | . . 3 | |
4 | 3 | ineq1i 3134 | . 2 |
5 | 1, 2, 4 | 3eqtr2i 2066 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wceq 1243 wcel 1393 cab 2026 crab 2310 cin 2916 |
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-rab 2315 df-v 2559 df-in 2924 |
This theorem is referenced by: notrab 3214 dfrab3ss 3215 dfif3 3343 dfse2 4698 |
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