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Mirrors > Home > ILE Home > Th. List > alexim | Unicode version |
Description: One direction of theorem 19.6 of [Margaris] p. 89. The converse holds given a decidability condition, as seen at alexdc 1606. (Contributed by Jim Kingdon, 2-Jul-2018.) |
Ref | Expression |
---|---|
alexim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.24 611 | . . . . 5 | |
2 | 1 | alimi 1442 | . . . 4 |
3 | exim 1586 | . . . 4 | |
4 | 2, 3 | syl 14 | . . 3 |
5 | nfv 1515 | . . . 4 | |
6 | 5 | 19.9 1631 | . . 3 |
7 | 4, 6 | syl6ib 160 | . 2 |
8 | dfnot 1360 | . 2 | |
9 | 7, 8 | sylibr 133 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1340 wfal 1347 wex 1479 |
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-in1 604 ax-in2 605 ax-5 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-4 1497 ax-17 1513 ax-ial 1521 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-fal 1348 df-nf 1448 |
This theorem is referenced by: exnalim 1633 exists2 2110 |
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