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Mirrors > Home > ILE Home > Th. List > csbiebg | Unicode version |
Description: Bidirectional conversion
between an implicit class substitution
hypothesis ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
csbiebg.2 |
![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
csbiebg |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq2 2097 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | imbi1d 229 |
. . 3
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3 | 2 | albidv 1752 |
. 2
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4 | csbeq1 2936 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
5 | 4 | eqeq1d 2096 |
. 2
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6 | vex 2622 |
. . 3
![]() ![]() ![]() ![]() | |
7 | csbiebg.2 |
. . 3
![]() ![]() ![]() ![]() | |
8 | 6, 7 | csbieb 2969 |
. 2
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9 | 3, 5, 8 | vtoclbg 2680 |
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-v 2621 df-sbc 2841 df-csb 2934 |
This theorem is referenced by: (None) |
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