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Mirrors > Home > NFE Home > Th. List > sstri | Unicode version |
Description: Subclass transitivity inference. (Contributed by NM, 5-May-2000.) |
Ref | Expression |
---|---|
sstri.1 | |
sstri.2 |
Ref | Expression |
---|---|
sstri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sstri.1 | . 2 | |
2 | sstri.2 | . 2 | |
3 | sstr2 3279 | . 2 | |
4 | 1, 2, 3 | mp2 17 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wss 3257 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-nan 1288 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-v 2861 df-nin 3211 df-compl 3212 df-in 3213 df-ss 3259 |
This theorem is referenced by: snsstp1 3858 snsstp2 3859 uniintsn 3963 inxpk 4277 dfidk2 4313 ssrnres 5059 fvfullfunlem3 5863 sbthlem1 6203 spacssnc 6284 |
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