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Mirrors > Home > ILE Home > Th. List > sb10f | Unicode version |
Description: Hao Wang's identity axiom P6 in Irving Copi, Symbolic Logic (5th ed., 1979), p. 328. In traditional predicate calculus, this is a sole axiom for identity from which the usual ones can be derived. (Contributed by NM, 9-May-2005.) |
Ref | Expression |
---|---|
sb10f.1 |
Ref | Expression |
---|---|
sb10f |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb10f.1 | . . . 4 | |
2 | 1 | hbsb 1922 | . . 3 |
3 | sbequ 1812 | . . 3 | |
4 | 2, 3 | equsex 1706 | . 2 |
5 | 4 | bicomi 131 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1329 wex 1468 wsb 1735 |
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 |
This theorem is referenced by: (None) |
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