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Mirrors > Home > ILE Home > Th. List > mo4f | Unicode version |
Description: "At most one" expressed using implicit substitution. (Contributed by NM, 10-Apr-2004.) |
Ref | Expression |
---|---|
mo4f.1 | |
mo4f.2 |
Ref | Expression |
---|---|
mo4f |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-17 1506 | . . 3 | |
2 | 1 | mo3h 2050 | . 2 |
3 | mo4f.1 | . . . . . 6 | |
4 | mo4f.2 | . . . . . 6 | |
5 | 3, 4 | sbie 1764 | . . . . 5 |
6 | 5 | anbi2i 452 | . . . 4 |
7 | 6 | imbi1i 237 | . . 3 |
8 | 7 | 2albii 1447 | . 2 |
9 | 2, 8 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1329 wnf 1436 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: mo4 2058 mob2 2859 moop2 4168 dffun4f 5134 |
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