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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-unexg | Unicode version |
Description: unexg 4231 from bounded separation. (Contributed by BJ, 13-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-unexg |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | uneq1 3131 |
. . 3
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2 | eleq1 2145 |
. . 3
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3 | 1, 2 | syl 14 |
. 2
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4 | uneq2 3132 |
. . 3
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5 | eleq1 2145 |
. . 3
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6 | 4, 5 | syl 14 |
. 2
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7 | vex 2615 |
. . 3
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8 | vex 2615 |
. . 3
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9 | 7, 8 | bj-unex 11151 |
. 2
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10 | 3, 6, 9 | vtocl2g 2673 |
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 104 ax-ia2 105 ax-ia3 106 ax-io 663 ax-5 1377 ax-7 1378 ax-gen 1379 ax-ie1 1423 ax-ie2 1424 ax-8 1436 ax-10 1437 ax-11 1438 ax-i12 1439 ax-bndl 1440 ax-4 1441 ax-13 1445 ax-14 1446 ax-17 1460 ax-i9 1464 ax-ial 1468 ax-i5r 1469 ax-ext 2065 ax-pr 3999 ax-un 4223 ax-bd0 11045 ax-bdor 11048 ax-bdex 11051 ax-bdeq 11052 ax-bdel 11053 ax-bdsb 11054 ax-bdsep 11116 |
This theorem depends on definitions: df-bi 115 df-tru 1288 df-nf 1391 df-sb 1688 df-clab 2070 df-cleq 2076 df-clel 2079 df-nfc 2212 df-rex 2359 df-v 2614 df-un 2988 df-sn 3428 df-pr 3429 df-uni 3628 df-bdc 11073 |
This theorem is referenced by: bj-sucexg 11154 |
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