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Mirrors > Home > ILE Home > Th. List > eliin | Unicode version |
Description: Membership in indexed intersection. (Contributed by NM, 3-Sep-2003.) |
Ref | Expression |
---|---|
eliin |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eleq1 2151 |
. . 3
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2 | 1 | ralbidv 2381 |
. 2
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3 | df-iin 3739 |
. 2
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4 | 2, 3 | elab2g 2763 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 666 ax-5 1382 ax-7 1383 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-10 1442 ax-11 1443 ax-i12 1444 ax-bndl 1445 ax-4 1446 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-i5r 1474 ax-ext 2071 |
This theorem depends on definitions: df-bi 116 df-tru 1293 df-nf 1396 df-sb 1694 df-clab 2076 df-cleq 2082 df-clel 2085 df-nfc 2218 df-ral 2365 df-v 2622 df-iin 3739 |
This theorem is referenced by: iinconstm 3745 iuniin 3746 iinss1 3748 ssiinf 3785 iinss 3787 iinss2 3788 iinab 3797 iundif2ss 3801 iindif2m 3803 iinin2m 3804 elriin 3806 iinpw 3825 xpiindim 4586 cnviinm 4985 iinerm 6378 ixpiinm 6495 |
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