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Mirrors > Home > ILE Home > Th. List > n0mmoeu | Unicode version |
Description: A case of equivalence of "at most one" and "only one". If a class is inhabited, that class having at most one element is equivalent to it having only one element. (Contributed by Jim Kingdon, 31-Jul-2018.) |
Ref | Expression |
---|---|
n0mmoeu |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | exmoeu2 1993 |
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 104 ax-ia2 105 ax-ia3 106 ax-io 663 ax-5 1379 ax-7 1380 ax-gen 1381 ax-ie1 1425 ax-ie2 1426 ax-8 1438 ax-10 1439 ax-11 1440 ax-i12 1441 ax-bndl 1442 ax-4 1443 ax-17 1462 ax-i9 1466 ax-ial 1470 ax-i5r 1471 |
This theorem depends on definitions: df-bi 115 df-nf 1393 df-sb 1690 df-eu 1948 df-mo 1949 |
This theorem is referenced by: (None) |
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