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Mirrors > Home > ILE Home > Th. List > hbsbv | Unicode version |
Description: This is a version of hbsb 1871
with an extra distinct variable constraint,
on ![]() ![]() |
Ref | Expression |
---|---|
hbsbv.1 |
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Ref | Expression |
---|---|
hbsbv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-sb 1693 |
. 2
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2 | ax-17 1464 |
. . . 4
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3 | hbsbv.1 |
. . . 4
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4 | 2, 3 | hbim 1482 |
. . 3
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5 | 2, 3 | hban 1484 |
. . . 4
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6 | 5 | hbex 1572 |
. . 3
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7 | 4, 6 | hban 1484 |
. 2
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8 | 1, 7 | hbxfrbi 1406 |
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-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-4 1445 ax-17 1464 ax-i5r 1473 |
This theorem depends on definitions: df-bi 115 df-sb 1693 |
This theorem is referenced by: sbco2vlem 1868 2sb5rf 1913 2sb6rf 1914 |
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