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Mirrors > Home > ILE Home > Th. List > reu2 | Unicode version |
Description: A way to express restricted uniqueness. (Contributed by NM, 22-Nov-1994.) |
Ref | Expression |
---|---|
reu2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1509 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | eu2 2044 |
. 2
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3 | df-reu 2424 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | df-rex 2423 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
5 | df-ral 2422 |
. . . 4
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6 | 19.21v 1846 |
. . . . . 6
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7 | nfv 1509 |
. . . . . . . . . . . . 13
![]() ![]() ![]() ![]() ![]() ![]() | |
8 | nfs1v 1913 |
. . . . . . . . . . . . 13
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
9 | 7, 8 | nfan 1545 |
. . . . . . . . . . . 12
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | eleq1 2203 |
. . . . . . . . . . . . 13
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
11 | sbequ12 1745 |
. . . . . . . . . . . . 13
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
12 | 10, 11 | anbi12d 465 |
. . . . . . . . . . . 12
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13 | 9, 12 | sbie 1765 |
. . . . . . . . . . 11
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 13 | anbi2i 453 |
. . . . . . . . . 10
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15 | an4 576 |
. . . . . . . . . 10
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16 | 14, 15 | bitri 183 |
. . . . . . . . 9
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17 | 16 | imbi1i 237 |
. . . . . . . 8
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18 | impexp 261 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
19 | impexp 261 |
. . . . . . . 8
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20 | 17, 18, 19 | 3bitri 205 |
. . . . . . 7
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21 | 20 | albii 1447 |
. . . . . 6
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22 | df-ral 2422 |
. . . . . . 7
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23 | 22 | imbi2i 225 |
. . . . . 6
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24 | 6, 21, 23 | 3bitr4i 211 |
. . . . 5
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25 | 24 | albii 1447 |
. . . 4
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26 | 5, 25 | bitr4i 186 |
. . 3
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27 | 4, 26 | anbi12i 456 |
. 2
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28 | 2, 3, 27 | 3bitr4i 211 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-eu 2003 df-cleq 2133 df-clel 2136 df-ral 2422 df-rex 2423 df-reu 2424 |
This theorem is referenced by: (None) |
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