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Mirrors > Home > ILE Home > Th. List > ssv | Unicode version |
Description: Any class is a subclass of the universal class. (Contributed by NM, 31-Oct-1995.) |
Ref | Expression |
---|---|
ssv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 2697 | . 2 | |
2 | 1 | ssriv 3101 | 1 |
Colors of variables: wff set class |
Syntax hints: cvv 2686 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-v 2688 df-in 3077 df-ss 3084 |
This theorem is referenced by: ddifss 3314 inv1 3399 unv 3400 vss 3410 disj2 3418 pwv 3735 trv 4038 xpss 4647 djussxp 4684 dmv 4755 dmresi 4874 resid 4875 ssrnres 4981 rescnvcnv 5001 cocnvcnv1 5049 relrelss 5065 dffn2 5274 oprabss 5857 ofmres 6034 f1stres 6057 f2ndres 6058 fiintim 6817 djuf1olemr 6939 endjusym 6981 dju1p1e2 7053 suplocexprlemell 7521 seq3val 10231 seqvalcd 10232 seq3-1 10233 seqf 10234 seq3p1 10235 seqf2 10237 seq1cd 10238 seqp1cd 10239 setscom 11999 upxp 12441 uptx 12443 cnmptid 12450 cnmpt1st 12457 cnmpt2nd 12458 |
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