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Mirrors > Home > ILE Home > Th. List > fliftfuns | Unicode version |
Description: The function ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
flift.1 |
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flift.2 |
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flift.3 |
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Ref | Expression |
---|---|
fliftfuns |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | flift.1 |
. . 3
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2 | nfcv 2225 |
. . . . 5
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3 | nfcsb1v 2951 |
. . . . . 6
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4 | nfcsb1v 2951 |
. . . . . 6
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5 | 3, 4 | nfop 3615 |
. . . . 5
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6 | csbeq1a 2929 |
. . . . . 6
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7 | csbeq1a 2929 |
. . . . . 6
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8 | 6, 7 | opeq12d 3607 |
. . . . 5
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9 | 2, 5, 8 | cbvmpt 3901 |
. . . 4
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10 | 9 | rneqi 4624 |
. . 3
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11 | 1, 10 | eqtri 2105 |
. 2
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12 | flift.2 |
. . . 4
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13 | 12 | ralrimiva 2442 |
. . 3
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14 | 3 | nfel1 2235 |
. . . 4
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15 | 6 | eleq1d 2153 |
. . . 4
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16 | 14, 15 | rspc 2708 |
. . 3
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17 | 13, 16 | mpan9 275 |
. 2
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18 | flift.3 |
. . . 4
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19 | 18 | ralrimiva 2442 |
. . 3
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20 | 4 | nfel1 2235 |
. . . 4
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21 | 7 | eleq1d 2153 |
. . . 4
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22 | 20, 21 | rspc 2708 |
. . 3
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23 | 19, 22 | mpan9 275 |
. 2
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24 | csbeq1 2924 |
. 2
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25 | csbeq1 2924 |
. 2
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26 | 11, 17, 23, 24, 25 | fliftfun 5518 |
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 104 ax-ia2 105 ax-ia3 106 ax-io 663 ax-5 1379 ax-7 1380 ax-gen 1381 ax-ie1 1425 ax-ie2 1426 ax-8 1438 ax-10 1439 ax-11 1440 ax-i12 1441 ax-bndl 1442 ax-4 1443 ax-14 1448 ax-17 1462 ax-i9 1466 ax-ial 1470 ax-i5r 1471 ax-ext 2067 ax-sep 3925 ax-pow 3977 ax-pr 4003 |
This theorem depends on definitions: df-bi 115 df-3an 924 df-tru 1290 df-nf 1393 df-sb 1690 df-eu 1948 df-mo 1949 df-clab 2072 df-cleq 2078 df-clel 2081 df-nfc 2214 df-ral 2360 df-rex 2361 df-rab 2364 df-v 2616 df-sbc 2829 df-csb 2922 df-un 2990 df-in 2992 df-ss 2999 df-pw 3411 df-sn 3431 df-pr 3432 df-op 3434 df-uni 3631 df-br 3815 df-opab 3869 df-mpt 3870 df-id 4087 df-xp 4410 df-rel 4411 df-cnv 4412 df-co 4413 df-dm 4414 df-rn 4415 df-res 4416 df-ima 4417 df-iota 4937 df-fun 4974 df-fn 4975 df-f 4976 df-fv 4980 |
This theorem is referenced by: (None) |
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