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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 1418 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | eu2 1941 |
. 2
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3 | df-reu 2307 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | df-rex 2306 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
5 | df-ral 2305 |
. . . 4
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6 | 19.21v 1750 |
. . . . . 6
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7 | nfv 1418 |
. . . . . . . . . . . . 13
![]() ![]() ![]() ![]() ![]() ![]() | |
8 | nfs1v 1812 |
. . . . . . . . . . . . 13
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
9 | 7, 8 | nfan 1454 |
. . . . . . . . . . . 12
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | eleq1 2097 |
. . . . . . . . . . . . 13
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
11 | sbequ12 1651 |
. . . . . . . . . . . . 13
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
12 | 10, 11 | anbi12d 442 |
. . . . . . . . . . . 12
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13 | 9, 12 | sbie 1671 |
. . . . . . . . . . 11
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 13 | anbi2i 430 |
. . . . . . . . . 10
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15 | an4 520 |
. . . . . . . . . 10
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16 | 14, 15 | bitri 173 |
. . . . . . . . 9
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17 | 16 | imbi1i 227 |
. . . . . . . 8
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18 | impexp 250 |
. . . . . . . 8
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19 | impexp 250 |
. . . . . . . 8
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20 | 17, 18, 19 | 3bitri 195 |
. . . . . . 7
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21 | 20 | albii 1356 |
. . . . . 6
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22 | df-ral 2305 |
. . . . . . 7
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23 | 22 | imbi2i 215 |
. . . . . 6
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24 | 6, 21, 23 | 3bitr4i 201 |
. . . . 5
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25 | 24 | albii 1356 |
. . . 4
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26 | 5, 25 | bitr4i 176 |
. . 3
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27 | 4, 26 | anbi12i 433 |
. 2
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28 | 2, 3, 27 | 3bitr4i 201 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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-io 629 ax-5 1333 ax-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-10 1393 ax-11 1394 ax-i12 1395 ax-bndl 1396 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-nf 1347 df-sb 1643 df-eu 1900 df-cleq 2030 df-clel 2033 df-ral 2305 df-rex 2306 df-reu 2307 |
This theorem is referenced by: (None) |
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