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Mirrors > Home > ILE Home > Th. List > dral1 | Unicode version |
Description: Formula-building lemma for use with the Distinctor Reduction Theorem. Part of Theorem 9.4 of [Megill] p. 448 (p. 16 of preprint). (Contributed by NM, 24-Nov-1994.) |
Ref | Expression |
---|---|
dral1.1 |
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Ref | Expression |
---|---|
dral1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbae 1653 |
. . . 4
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2 | dral1.1 |
. . . . 5
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3 | 2 | biimpd 142 |
. . . 4
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4 | 1, 3 | alimdh 1401 |
. . 3
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5 | ax10o 1650 |
. . 3
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6 | 4, 5 | syld 44 |
. 2
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7 | hbae 1653 |
. . . 4
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8 | 2 | biimprd 156 |
. . . 4
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9 | 7, 8 | alimdh 1401 |
. . 3
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10 | ax10o 1650 |
. . . 4
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11 | 10 | alequcoms 1454 |
. . 3
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12 | 9, 11 | syld 44 |
. 2
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13 | 6, 12 | impbid 127 |
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-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: drnf1 1668 equveli 1689 a16g 1792 |
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