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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 2228 |
. . . . 5
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3 | nfcsb1v 2963 |
. . . . . 6
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4 | nfcsb1v 2963 |
. . . . . 6
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5 | 3, 4 | nfop 3638 |
. . . . 5
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6 | csbeq1a 2941 |
. . . . . 6
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7 | csbeq1a 2941 |
. . . . . 6
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8 | 6, 7 | opeq12d 3630 |
. . . . 5
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9 | 2, 5, 8 | cbvmpt 3933 |
. . . 4
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10 | 9 | rneqi 4663 |
. . 3
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11 | 1, 10 | eqtri 2108 |
. 2
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12 | flift.2 |
. . . 4
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13 | 12 | ralrimiva 2446 |
. . 3
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14 | 3 | nfel1 2239 |
. . . 4
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15 | 6 | eleq1d 2156 |
. . . 4
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16 | 14, 15 | rspc 2716 |
. . 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 2446 |
. . 3
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20 | 4 | nfel1 2239 |
. . . 4
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21 | 7 | eleq1d 2156 |
. . . 4
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22 | 20, 21 | rspc 2716 |
. . 3
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23 | 19, 22 | mpan9 275 |
. 2
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24 | csbeq1 2936 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
25 | csbeq1 2936 |
. 2
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26 | 11, 17, 23, 24, 25 | fliftfun 5575 |
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 665 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-bndl 1444 ax-4 1445 ax-14 1450 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 ax-ext 2070 ax-sep 3957 ax-pow 4009 ax-pr 4036 |
This theorem depends on definitions: df-bi 115 df-3an 926 df-tru 1292 df-nf 1395 df-sb 1693 df-eu 1951 df-mo 1952 df-clab 2075 df-cleq 2081 df-clel 2084 df-nfc 2217 df-ral 2364 df-rex 2365 df-rab 2368 df-v 2621 df-sbc 2841 df-csb 2934 df-un 3003 df-in 3005 df-ss 3012 df-pw 3431 df-sn 3452 df-pr 3453 df-op 3455 df-uni 3654 df-br 3846 df-opab 3900 df-mpt 3901 df-id 4120 df-xp 4444 df-rel 4445 df-cnv 4446 df-co 4447 df-dm 4448 df-rn 4449 df-res 4450 df-ima 4451 df-iota 4980 df-fun 5017 df-fn 5018 df-f 5019 df-fv 5023 |
This theorem is referenced by: (None) |
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