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Mirrors > Home > ILE Home > Th. List > csbiotag | Unicode version |
Description: Class substitution within a description binder. (Contributed by Scott Fenton, 6-Oct-2017.) |
Ref | Expression |
---|---|
csbiotag |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csbeq1 2936 |
. . 3
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2 | dfsbcq2 2843 |
. . . 4
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3 | 2 | iotabidv 4996 |
. . 3
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4 | 1, 3 | eqeq12d 2102 |
. 2
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5 | vex 2622 |
. . 3
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6 | nfs1v 1863 |
. . . 4
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7 | 6 | nfiotaxy 4979 |
. . 3
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8 | sbequ12 1701 |
. . . 4
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9 | 8 | iotabidv 4996 |
. . 3
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10 | 5, 7, 9 | csbief 2972 |
. 2
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11 | 4, 10 | vtoclg 2679 |
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-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-3an 926 df-tru 1292 df-nf 1395 df-sb 1693 df-clab 2075 df-cleq 2081 df-clel 2084 df-nfc 2217 df-rex 2365 df-v 2621 df-sbc 2841 df-csb 2934 df-sn 3450 df-uni 3652 df-iota 4975 |
This theorem is referenced by: csbfv12g 5334 |
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