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Mirrors > Home > ILE Home > Th. List > eu3h | Unicode version |
Description: An alternate way to express existential uniqueness. (Contributed by NM, 8-Jul-1994.) (New usage is discouraged.) |
Ref | Expression |
---|---|
eu3h.1 |
Ref | Expression |
---|---|
eu3h |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | euex 1930 | . . 3 | |
2 | eu3h.1 | . . . 4 | |
3 | 2 | eumo0 1931 | . . 3 |
4 | 1, 3 | jca 290 | . 2 |
5 | 2 | nfi 1351 | . . . . 5 |
6 | 5 | mo23 1941 | . . . 4 |
7 | 6 | anim2i 324 | . . 3 |
8 | 5 | eu2 1944 | . . 3 |
9 | 7, 8 | sylibr 137 | . 2 |
10 | 4, 9 | impbii 117 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 wal 1241 wex 1381 wsb 1645 weu 1900 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-eu 1903 |
This theorem is referenced by: eu3 1946 mo2r 1952 2eu4 1993 |
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