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Mirrors > Home > ILE Home > Th. List > syl5ss | Unicode version |
Description: Subclass transitivity deduction. (Contributed by NM, 6-Feb-2014.) |
Ref | Expression |
---|---|
syl5ss.1 | |
syl5ss.2 |
Ref | Expression |
---|---|
syl5ss |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl5ss.1 | . . 3 | |
2 | 1 | a1i 9 | . 2 |
3 | syl5ss.2 | . 2 | |
4 | 2, 3 | sstrd 3009 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 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: fimacnv 5317 smores2 5932 f1imaen2g 6296 phplem4dom 6348 genipv 6699 fzossnn0 9184 |
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