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Mirrors > Home > ILE Home > Th. List > eu5 | Unicode version |
Description: Uniqueness in terms of "at most one." (Contributed by NM, 23-Mar-1995.) (Proof rewritten by Jim Kingdon, 27-May-2018.) |
Ref | Expression |
---|---|
eu5 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | euex 2029 | . . 3 | |
2 | eumo 2031 | . . 3 | |
3 | 1, 2 | jca 304 | . 2 |
4 | df-mo 2003 | . . . . 5 | |
5 | 4 | biimpi 119 | . . . 4 |
6 | 5 | imp 123 | . . 3 |
7 | 6 | ancoms 266 | . 2 |
8 | 3, 7 | impbii 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wex 1468 weu 1999 wmo 2000 |
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-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-eu 2002 df-mo 2003 |
This theorem is referenced by: exmoeu2 2047 euan 2055 eu4 2061 euim 2067 euexex 2084 2euex 2086 2euswapdc 2090 2exeu 2091 reu5 2643 reuss2 3356 funcnv3 5185 fnres 5239 fnopabg 5246 brprcneu 5414 dff3im 5565 recmulnqg 7199 uptx 12443 |
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