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Mirrors > Home > ILE Home > Th. List > sbcom2v2 | Unicode version |
Description: Lemma for proving sbcom2 1997. It is the same as sbcom2v 1995 but removes
the distinct variable constraint on ![]() ![]() |
Ref | Expression |
---|---|
sbcom2v2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbcom2v 1995 |
. . 3
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2 | sbcom2v 1995 |
. . . 4
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3 | 2 | sbbii 1775 |
. . 3
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4 | 1, 3 | bitri 184 |
. 2
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5 | ax-17 1536 |
. . . 4
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6 | 5 | sbco2vh 1955 |
. . 3
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7 | 6 | sbbii 1775 |
. 2
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8 | ax-17 1536 |
. . 3
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9 | 8 | sbco2vh 1955 |
. 2
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10 | 4, 7, 9 | 3bitr3i 210 |
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 710 ax-5 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 |
This theorem depends on definitions: df-bi 117 df-nf 1471 df-sb 1773 |
This theorem is referenced by: sbcom2 1997 |
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