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Mirrors > Home > ILE Home > Th. List > dftpos3 | Unicode version |
Description: Alternate definition of
tpos when ![]() |
Ref | Expression |
---|---|
dftpos3 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | relcnv 5005 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() ![]() | |
2 | dmtpos 6254 |
. . . . . . . . . . 11
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 2 | releqd 4709 |
. . . . . . . . . 10
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4 | 1, 3 | mpbiri 168 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | reltpos 6248 |
. . . . . . . . 9
![]() ![]() ![]() | |
6 | 4, 5 | jctil 312 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | relrelss 5154 |
. . . . . . . 8
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8 | 6, 7 | sylib 122 |
. . . . . . 7
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9 | 8 | sseld 3154 |
. . . . . 6
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10 | elvvv 4688 |
. . . . . 6
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11 | 9, 10 | syl6ib 161 |
. . . . 5
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12 | 11 | pm4.71rd 394 |
. . . 4
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13 | 19.41vvv 1904 |
. . . . 5
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14 | eleq1 2240 |
. . . . . . . 8
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15 | df-br 4003 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
16 | vex 2740 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() | |
17 | vex 2740 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() | |
18 | vex 2740 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() | |
19 | brtposg 6252 |
. . . . . . . . . 10
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20 | 16, 17, 18, 19 | mp3an 1337 |
. . . . . . . . 9
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21 | 15, 20 | bitr3i 186 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
22 | 14, 21 | bitrdi 196 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
23 | 22 | pm5.32i 454 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
24 | 23 | 3exbii 1607 |
. . . . 5
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25 | 13, 24 | bitr3i 186 |
. . . 4
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26 | 12, 25 | bitrdi 196 |
. . 3
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27 | 26 | abbi2dv 2296 |
. 2
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28 | df-oprab 5876 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
29 | 27, 28 | eqtr4di 2228 |
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-in1 614 ax-in2 615 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 ax-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4120 ax-nul 4128 ax-pow 4173 ax-pr 4208 ax-un 4432 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-tru 1356 df-fal 1359 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ne 2348 df-ral 2460 df-rex 2461 df-rab 2464 df-v 2739 df-sbc 2963 df-dif 3131 df-un 3133 df-in 3135 df-ss 3142 df-nul 3423 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-br 4003 df-opab 4064 df-mpt 4065 df-id 4292 df-xp 4631 df-rel 4632 df-cnv 4633 df-co 4634 df-dm 4635 df-rn 4636 df-res 4637 df-ima 4638 df-iota 5177 df-fun 5217 df-fn 5218 df-fv 5223 df-oprab 5876 df-tpos 6243 |
This theorem is referenced by: tposoprab 6278 |
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