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Mirrors > Home > ILE Home > Th. List > reupick3 | Unicode version |
Description: Restricted uniqueness "picks" a member of a subclass. (Contributed by Mario Carneiro, 19-Nov-2016.) |
Ref | Expression |
---|---|
reupick3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-reu 2462 |
. . . 4
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2 | df-rex 2461 |
. . . . 5
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3 | anass 401 |
. . . . . 6
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4 | 3 | exbii 1605 |
. . . . 5
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5 | 2, 4 | bitr4i 187 |
. . . 4
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6 | eupick 2105 |
. . . 4
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7 | 1, 5, 6 | syl2anb 291 |
. . 3
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8 | 7 | expd 258 |
. 2
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9 | 8 | 3impia 1200 |
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 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-rex 2461 df-reu 2462 |
This theorem is referenced by: reupick2 3423 |
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