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Mirrors > Home > ILE Home > Th. List > sstrid | Unicode version |
Description: Subclass transitivity deduction. (Contributed by NM, 6-Feb-2014.) |
Ref | Expression |
---|---|
sstrid.1 | |
sstrid.2 |
Ref | Expression |
---|---|
sstrid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sstrid.1 | . . 3 | |
2 | 1 | a1i 9 | . 2 |
3 | sstrid.2 | . 2 | |
4 | 2, 3 | sstrd 3107 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wss 3071 |
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-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-in 3077 df-ss 3084 |
This theorem is referenced by: cossxp2 5062 fimacnv 5549 smores2 6191 f1imaen2g 6687 phplem4dom 6756 isinfinf 6791 fidcenumlemrk 6842 casef 6973 genipv 7317 fzossnn0 9952 seq3split 10252 ctinf 11943 tgcl 12233 epttop 12259 ntrin 12293 cnconst2 12402 cnrest2 12405 cnptopresti 12407 cnptoprest2 12409 hmeores 12484 blin2 12601 ivthdec 12791 limcdifap 12800 limcresi 12804 dvfgg 12826 dvcnp2cntop 12832 dvaddxxbr 12834 |
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