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Mirrors > Home > ILE Home > Th. List > moimi | Unicode version |
Description: "At most one" is preserved through implication (notice wff reversal). (Contributed by NM, 15-Feb-2006.) |
Ref | Expression |
---|---|
moimi.1 |
Ref | Expression |
---|---|
moimi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | moim 2005 | . 2 | |
2 | moimi.1 | . 2 | |
3 | 1, 2 | mpg 1380 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wmo 1942 |
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 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-eu 1944 df-mo 1945 |
This theorem is referenced by: moan 2010 moor 2012 mooran1 2013 mooran2 2014 2moex 2027 2euex 2028 2exeu 2033 mosubt 2769 sndisj 3781 disjxsn 3783 mosubopt 4423 funcnvsn 4965 nfunsn 5228 th3qlem2 6232 shftfn 9712 |
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