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Mirrors > Home > ILE Home > Th. List > sstrd | Unicode version |
Description: Subclass transitivity deduction. (Contributed by NM, 2-Jun-2004.) |
Ref | Expression |
---|---|
sstrd.1 | |
sstrd.2 |
Ref | Expression |
---|---|
sstrd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sstrd.1 | . 2 | |
2 | sstrd.2 | . 2 | |
3 | sstr 3100 | . 2 | |
4 | 1, 2, 3 | syl2anc 408 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wss 3066 |
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 2119 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-in 3072 df-ss 3079 |
This theorem is referenced by: sstrid 3103 sstrdi 3104 ssdif2d 3210 tfisi 4496 funss 5137 fssxp 5285 fvmptssdm 5498 suppssfv 5971 suppssov1 5972 tposss 6136 tfrlem1 6198 tfrlemibfn 6218 tfr1onlembfn 6234 tfr1onlemubacc 6236 tfr1onlemres 6239 tfrcllembfn 6247 tfrcllemubacc 6249 tfrcllemres 6252 ecinxp 6497 undifdc 6805 sbthlem1 6838 iseqf1olemnab 10254 isumss 11153 ennnfoneleminc 11913 strsetsid 11981 strleund 12036 ntrss 12277 neiint 12303 neiss 12308 restopnb 12339 iscnp4 12376 blssps 12585 blss 12586 xmettx 12668 tgqioo 12705 rescncf 12726 suplociccreex 12760 suplociccex 12761 dvbss 12812 dvbsssg 12813 dvfgg 12815 dvcnp2cntop 12821 dvcn 12822 dvaddxxbr 12823 dvmulxxbr 12824 dvcoapbr 12829 |
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