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Mirrors > Home > ILE Home > Th. List > eubid | Unicode version |
Description: Formula-building rule for unique existential quantifier (deduction form). (Contributed by NM, 9-Jul-1994.) |
Ref | Expression |
---|---|
eubid.1 |
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eubid.2 |
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Ref | Expression |
---|---|
eubid |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eubid.1 |
. . . 4
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2 | eubid.2 |
. . . . 5
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3 | 2 | bibi1d 233 |
. . . 4
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4 | 1, 3 | albid 1615 |
. . 3
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5 | 4 | exbidv 1825 |
. 2
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6 | df-eu 2029 |
. 2
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7 | df-eu 2029 |
. 2
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8 | 5, 6, 7 | 3bitr4g 223 |
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-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-17 1526 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-eu 2029 |
This theorem is referenced by: eubidv 2034 mobid 2061 reubida 2658 reueq1f 2670 eusv2i 4455 |
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