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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 |
Ref | Expression |
---|---|
dral1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbae 1606 | . . . 4 | |
2 | dral1.1 | . . . . 5 | |
3 | 2 | biimpd 132 | . . . 4 |
4 | 1, 3 | alimdh 1356 | . . 3 |
5 | ax10o 1603 | . . 3 | |
6 | 4, 5 | syld 40 | . 2 |
7 | hbae 1606 | . . . 4 | |
8 | 2 | biimprd 147 | . . . 4 |
9 | 7, 8 | alimdh 1356 | . . 3 |
10 | ax10o 1603 | . . . 4 | |
11 | 10 | alequcoms 1409 | . . 3 |
12 | 9, 11 | syld 40 | . 2 |
13 | 6, 12 | impbid 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wal 1241 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: drnf1 1621 equveli 1642 a16g 1744 |
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