Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 6 | . . . . . . 7 | |
2 | 1 | a1i 9 | . . . . . 6 |
3 | 2 | sbimi 1737 | . . . . . . 7 |
4 | nfv 1508 | . . . . . . . 8 | |
5 | 4 | sbf 1750 | . . . . . . 7 |
6 | sbim 1924 | . . . . . . 7 | |
7 | 3, 5, 6 | 3imtr3i 199 | . . . . . 6 |
8 | 2, 7 | anim12d 333 | . . . . 5 |
9 | 8 | imim1d 75 | . . . 4 |
10 | 9 | 2alimdv 1853 | . . 3 |
11 | ax-17 1506 | . . . 4 | |
12 | 11 | mo3h 2050 | . . 3 |
13 | ax-17 1506 | . . . 4 | |
14 | 13 | mo3h 2050 | . . 3 |
15 | 10, 12, 14 | 3imtr4g 204 | . 2 |
16 | 15 | com12 30 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1329 wsb 1735 wmo 1998 |
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-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-eu 2000 df-mo 2001 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |