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Mirrors > Home > ILE Home > Th. List > sbmo | Unicode version |
Description: Substitution into "at most one". (Contributed by Jeff Madsen, 2-Sep-2009.) |
Ref | Expression |
---|---|
sbmo |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1508 | . . . . . 6 | |
2 | 1 | sblim 1930 | . . . . 5 |
3 | sban 1928 | . . . . . 6 | |
4 | 3 | imbi1i 237 | . . . . 5 |
5 | sbcom2 1962 | . . . . . . 7 | |
6 | 5 | anbi2i 452 | . . . . . 6 |
7 | 6 | imbi1i 237 | . . . . 5 |
8 | 2, 4, 7 | 3bitri 205 | . . . 4 |
9 | 8 | sbalv 1980 | . . 3 |
10 | 9 | sbalv 1980 | . 2 |
11 | nfv 1508 | . . . 4 | |
12 | 11 | mo3 2053 | . . 3 |
13 | 12 | sbbii 1738 | . 2 |
14 | nfv 1508 | . . 3 | |
15 | 14 | mo3 2053 | . 2 |
16 | 10, 13, 15 | 3bitr4i 211 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1329 wceq 1331 wsb 1735 wmo 2000 |
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 2002 df-mo 2003 |
This theorem is referenced by: (None) |
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