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Mirrors > Home > ILE Home > Th. List > eumo | Unicode version |
Description: Existential uniqueness implies "at most one." (Contributed by NM, 23-Mar-1995.) (Proof rewritten by Jim Kingdon, 27-May-2018.) |
Ref | Expression |
---|---|
eumo |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 6 | . 2 | |
2 | df-mo 2010 | . 2 | |
3 | 1, 2 | sylibr 133 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wex 1472 weu 2006 wmo 2007 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-mo 2010 |
This theorem is referenced by: eumoi 2039 eu5 2053 euimmo 2073 moaneu 2082 eupick 2085 2eumo 2094 moeq3dc 2888 nfunsn 5502 fnoprabg 5922 uptx 12674 txcn 12675 |
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