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Mirrors > Home > ILE Home > Th. List > viin | Unicode version |
Description: Indexed intersection with a universal index class. (Contributed by NM, 11-Sep-2008.) |
Ref | Expression |
---|---|
viin |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-iin 3852 | . 2 | |
2 | ralv 2729 | . . 3 | |
3 | 2 | abbii 2273 | . 2 |
4 | 1, 3 | eqtri 2178 | 1 |
Colors of variables: wff set class |
Syntax hints: wal 1333 wceq 1335 wcel 2128 cab 2143 wral 2435 cvv 2712 ciin 3850 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-11 1486 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-tru 1338 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-ral 2440 df-v 2714 df-iin 3852 |
This theorem is referenced by: (None) |
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