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Mirrors > Home > ILE Home > Th. List > tfrlem3-2d | Unicode version |
Description: Lemma for transfinite recursion which changes a bound variable (Contributed by Jim Kingdon, 2-Jul-2019.) |
Ref | Expression |
---|---|
tfrlem3-2d.1 |
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Ref | Expression |
---|---|
tfrlem3-2d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tfrlem3-2d.1 |
. . 3
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2 | fveq2 5318 |
. . . . . 6
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3 | 2 | eleq1d 2157 |
. . . . 5
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4 | 3 | anbi2d 453 |
. . . 4
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5 | 4 | cbvalv 1843 |
. . 3
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6 | 1, 5 | sylib 121 |
. 2
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7 | 6 | 19.21bi 1496 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 666 ax-5 1382 ax-7 1383 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-10 1442 ax-11 1443 ax-i12 1444 ax-bndl 1445 ax-4 1446 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-i5r 1474 ax-ext 2071 |
This theorem depends on definitions: df-bi 116 df-3an 927 df-tru 1293 df-nf 1396 df-sb 1694 df-clab 2076 df-cleq 2082 df-clel 2085 df-nfc 2218 df-rex 2366 df-v 2622 df-un 3004 df-sn 3456 df-pr 3457 df-op 3459 df-uni 3660 df-br 3852 df-iota 4993 df-fv 5036 |
This theorem is referenced by: tfrlemisucfn 6103 tfrlemisucaccv 6104 tfrlemibxssdm 6106 tfrlemibfn 6107 tfrlemi14d 6112 |
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