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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 2397 |
. . . 4
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2 | df-rex 2396 |
. . . . 5
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3 | anass 396 |
. . . . . 6
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4 | 3 | exbii 1567 |
. . . . 5
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5 | 2, 4 | bitr4i 186 |
. . . 4
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6 | eupick 2054 |
. . . 4
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7 | 1, 5, 6 | syl2anb 287 |
. . 3
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8 | 7 | expd 256 |
. 2
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9 | 8 | 3impia 1161 |
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 681 ax-5 1406 ax-7 1407 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-8 1465 ax-10 1466 ax-11 1467 ax-i12 1468 ax-bndl 1469 ax-4 1470 ax-17 1489 ax-i9 1493 ax-ial 1497 ax-i5r 1498 |
This theorem depends on definitions: df-bi 116 df-3an 947 df-nf 1420 df-sb 1719 df-eu 1978 df-mo 1979 df-rex 2396 df-reu 2397 |
This theorem is referenced by: reupick2 3328 |
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