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Mirrors > Home > ILE Home > Th. List > csbiegf | Unicode version |
Description: Conversion of implicit substitution to explicit substitution into a class. (Contributed by NM, 11-Nov-2005.) (Revised by Mario Carneiro, 13-Oct-2016.) |
Ref | Expression |
---|---|
csbiegf.1 |
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csbiegf.2 |
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Ref | Expression |
---|---|
csbiegf |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csbiegf.2 |
. . 3
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2 | 1 | ax-gen 1449 |
. 2
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3 | csbiegf.1 |
. . 3
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4 | csbiebt 3096 |
. . 3
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5 | 3, 4 | mpdan 421 |
. 2
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6 | 2, 5 | mpbii 148 |
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-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-ext 2159 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-v 2739 df-sbc 2963 df-csb 3058 |
This theorem is referenced by: csbief 3101 sbcco3g 3114 csbco3g 3115 fmptcof 5682 fmpoco 6214 iseqf1olemjpcl 10490 iseqf1olemqpcl 10491 iseqf1olemfvp 10492 seq3f1olemqsum 10495 sumsnf 11410 prodsnf 11593 pcmpt 12333 |
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