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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-vprc | Unicode version |
Description: vprc 3888 from bounded separation. (Contributed by BJ, 18-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-vprc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-nalset 10015 |
. . 3
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2 | vex 2560 |
. . . . . . 7
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3 | 2 | tbt 236 |
. . . . . 6
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4 | 3 | albii 1359 |
. . . . 5
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5 | dfcleq 2034 |
. . . . 5
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6 | 4, 5 | bitr4i 176 |
. . . 4
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7 | 6 | exbii 1496 |
. . 3
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8 | 1, 7 | mtbi 595 |
. 2
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9 | isset 2561 |
. 2
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10 | 8, 9 | mtbir 596 |
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 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-4 1400 ax-13 1404 ax-14 1405 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-ext 2022 ax-bdn 9937 ax-bdel 9941 ax-bdsep 10004 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-fal 1249 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-v 2559 |
This theorem is referenced by: bj-nvel 10017 bj-vnex 10018 bj-intexr 10028 bj-intnexr 10029 |
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