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Mirrors > Home > ILE Home > Th. List > sseldi | Unicode version |
Description: Membership inference from subclass relationship. (Contributed by NM, 25-Jun-2014.) |
Ref | Expression |
---|---|
sseli.1 | |
sseldi.2 |
Ref | Expression |
---|---|
sseldi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sseldi.2 | . 2 | |
2 | sseli.1 | . . 3 | |
3 | 2 | sseli 2995 | . 2 |
4 | 1, 3 | syl 14 | 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: riotacl 5502 riotasbc 5503 elmpt2cl 5718 ofrval 5742 f1od2 5876 mpt2xopn0yelv 5877 tpostpos 5902 smores 5930 supubti 6412 suplubti 6413 prarloclemcalc 6692 rereceu 7055 recriota 7056 rexrd 7168 nnred 8052 nncnd 8053 un0addcl 8321 un0mulcl 8322 nnnn0d 8341 nn0red 8342 suprzclex 8445 nn0zd 8467 zred 8469 rpred 8773 ige2m1fz 9127 zmodfzp1 9350 iseqcaopr2 9461 expcl2lemap 9488 m1expcl 9499 lcmn0cl 10450 |
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