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Mirrors > Home > ILE Home > Th. List > eu1 | Unicode version |
Description: An alternate way to express uniqueness used by some authors. Exercise 2(b) of [Margaris] p. 110. (Contributed by NM, 20-Aug-1993.) |
Ref | Expression |
---|---|
eu1.1 |
Ref | Expression |
---|---|
eu1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbs1 1855 | . . 3 | |
2 | 1 | euf 1946 | . 2 |
3 | eu1.1 | . . 3 | |
4 | 3 | sb8euh 1964 | . 2 |
5 | equcom 1633 | . . . . . . 7 | |
6 | 5 | imbi2i 224 | . . . . . 6 |
7 | 6 | albii 1399 | . . . . 5 |
8 | 3 | sb6rf 1774 | . . . . 5 |
9 | 7, 8 | anbi12i 447 | . . . 4 |
10 | ancom 262 | . . . 4 | |
11 | albiim 1416 | . . . 4 | |
12 | 9, 10, 11 | 3bitr4i 210 | . . 3 |
13 | 12 | exbii 1536 | . 2 |
14 | 2, 4, 13 | 3bitr4i 210 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 wal 1282 wex 1421 wsb 1685 weu 1941 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-eu 1944 |
This theorem is referenced by: euex 1971 eu2 1985 |
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