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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 3075 | . 2 | |
4 | 1, 2, 3 | syl2anc 408 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wss 3041 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-in 3047 df-ss 3054 |
This theorem is referenced by: sstrid 3078 sstrdi 3079 ssdif2d 3185 tfisi 4471 funss 5112 fssxp 5260 fvmptssdm 5473 suppssfv 5946 suppssov1 5947 tposss 6111 tfrlem1 6173 tfrlemibfn 6193 tfr1onlembfn 6209 tfr1onlemubacc 6211 tfr1onlemres 6214 tfrcllembfn 6222 tfrcllemubacc 6224 tfrcllemres 6227 ecinxp 6472 undifdc 6780 sbthlem1 6813 iseqf1olemnab 10216 isumss 11115 ennnfoneleminc 11835 strsetsid 11903 strleund 11958 ntrss 12199 neiint 12225 neiss 12230 restopnb 12261 iscnp4 12298 blssps 12507 blss 12508 xmettx 12590 tgqioo 12627 rescncf 12648 suplociccreex 12682 suplociccex 12683 dvbss 12734 dvbsssg 12735 dvfgg 12737 dvcnp2cntop 12743 dvcn 12744 dvaddxxbr 12745 dvmulxxbr 12746 dvcoapbr 12751 |
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