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Mirrors > Home > ILE Home > Th. List > eumo0 | Unicode version |
Description: Existential uniqueness implies "at most one." (Contributed by NM, 8-Jul-1994.) |
Ref | Expression |
---|---|
eumo0.1 |
Ref | Expression |
---|---|
eumo0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eumo0.1 | . . 3 | |
2 | 1 | euf 2018 | . 2 |
3 | biimp 117 | . . . 4 | |
4 | 3 | alimi 1442 | . . 3 |
5 | 4 | eximi 1587 | . 2 |
6 | 2, 5 | sylbi 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wal 1340 wex 1479 weu 2013 |
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-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 |
This theorem depends on definitions: df-bi 116 df-eu 2016 |
This theorem is referenced by: eu2 2057 eu3h 2058 |
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