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Mirrors > Home > ILE Home > Th. List > moimv | Unicode version |
Description: Move antecedent outside of "at most one." (Contributed by NM, 28-Jul-1995.) |
Ref | Expression |
---|---|
moimv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 5 | . . . . . . 7 | |
2 | 1 | a1i 9 | . . . . . 6 |
3 | 2 | sbimi 1687 | . . . . . . 7 |
4 | nfv 1461 | . . . . . . . 8 | |
5 | 4 | sbf 1700 | . . . . . . 7 |
6 | sbim 1868 | . . . . . . 7 | |
7 | 3, 5, 6 | 3imtr3i 198 | . . . . . 6 |
8 | 2, 7 | anim12d 328 | . . . . 5 |
9 | 8 | imim1d 74 | . . . 4 |
10 | 9 | 2alimdv 1802 | . . 3 |
11 | ax-17 1459 | . . . 4 | |
12 | 11 | mo3h 1994 | . . 3 |
13 | ax-17 1459 | . . . 4 | |
14 | 13 | mo3h 1994 | . . 3 |
15 | 10, 12, 14 | 3imtr4g 203 | . 2 |
16 | 15 | com12 30 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wal 1282 wsb 1685 wmo 1942 |
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 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-eu 1944 df-mo 1945 |
This theorem is referenced by: (None) |
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