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Mirrors > Home > ILE Home > Th. List > eubidh | Unicode version |
Description: Formula-building rule for unique existential quantifier (deduction form). (Contributed by NM, 9-Jul-1994.) |
Ref | Expression |
---|---|
eubidh.1 |
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eubidh.2 |
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Ref | Expression |
---|---|
eubidh |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eubidh.1 |
. . . 4
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2 | eubidh.2 |
. . . . 5
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3 | 2 | bibi1d 232 |
. . . 4
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4 | 1, 3 | albidh 1457 |
. . 3
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5 | 4 | exbidv 1798 |
. 2
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6 | df-eu 2003 |
. 2
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7 | df-eu 2003 |
. 2
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8 | 5, 6, 7 | 3bitr4g 222 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 df-eu 2003 |
This theorem is referenced by: euor 2026 mobidh 2034 euan 2056 euor2 2058 eupickbi 2082 |
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