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Mirrors > Home > ILE Home > Th. List > ssintrab | Unicode version |
Description: Subclass of the intersection of a restricted class builder. (Contributed by NM, 30-Jan-2015.) |
Ref | Expression |
---|---|
ssintrab |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rab 2474 |
. . . 4
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2 | 1 | inteqi 3860 |
. . 3
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3 | 2 | sseq2i 3194 |
. 2
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4 | impexp 263 |
. . . 4
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5 | 4 | albii 1480 |
. . 3
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6 | ssintab 3873 |
. . 3
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7 | df-ral 2470 |
. . 3
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8 | 5, 6, 7 | 3bitr4i 212 |
. 2
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9 | 3, 8 | bitri 184 |
1
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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 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-ext 2169 |
This theorem depends on definitions: df-bi 117 df-tru 1366 df-nf 1471 df-sb 1773 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-ral 2470 df-rab 2474 df-v 2751 df-in 3147 df-ss 3154 df-int 3857 |
This theorem is referenced by: (None) |
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