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Mirrors > Home > ILE Home > Th. List > exmoeu2 | Unicode version |
Description: Existence implies "at most one" is equivalent to uniqueness. (Contributed by NM, 5-Apr-2004.) |
Ref | Expression |
---|---|
exmoeu2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eu5 2007 |
. 2
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2 | 1 | baibr 873 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 671 ax-5 1391 ax-7 1392 ax-gen 1393 ax-ie1 1437 ax-ie2 1438 ax-8 1450 ax-10 1451 ax-11 1452 ax-i12 1453 ax-bndl 1454 ax-4 1455 ax-17 1474 ax-i9 1478 ax-ial 1482 ax-i5r 1483 |
This theorem depends on definitions: df-bi 116 df-nf 1405 df-sb 1704 df-eu 1963 df-mo 1964 |
This theorem is referenced by: n0mmoeu 3326 fneu 5163 |
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