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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 |
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Ref | Expression |
---|---|
sb10f |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb10f.1 |
. . . 4
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2 | 1 | hbsb 1923 |
. . 3
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3 | sbequ 1813 |
. . 3
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4 | 2, 3 | equsex 1707 |
. 2
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5 | 4 | bicomi 131 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
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 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 |
This theorem is referenced by: (None) |
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