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Mirrors > Home > ILE Home > Th. List > sseldd | Unicode version |
Description: Membership inference from subclass relationship. (Contributed by NM, 14-Dec-2004.) |
Ref | Expression |
---|---|
sseld.1 | |
sseldd.2 |
Ref | Expression |
---|---|
sseldd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sseldd.2 | . 2 | |
2 | sseld.1 | . . 3 | |
3 | 2 | sseld 2998 | . 2 |
4 | 1, 3 | mpd 13 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1433 wss 2973 |
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-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-in 2979 df-ss 2986 |
This theorem is referenced by: frirrg 4105 ordtri2or2exmid 4314 riotass 5515 eroveu 6220 eroprf 6222 findcard2d 6375 findcard2sd 6376 suplub2ti 6414 nnppipi 6533 archnqq 6607 prarloclemlt 6683 suprubex 8029 suprzclex 8445 fzssp1 9085 elfzoelz 9157 fzofzp1 9236 fzostep1 9246 isermono 9457 bcm1k 9687 fimaxre2 10109 zssinfcl 10344 |
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