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Mirrors > Home > ILE Home > Th. List > eqsstrid | Unicode version |
Description: B chained subclass and equality deduction. (Contributed by NM, 25-Apr-2004.) |
Ref | Expression |
---|---|
eqsstrid.1 | |
eqsstrid.2 |
Ref | Expression |
---|---|
eqsstrid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqsstrid.2 | . 2 | |
2 | eqsstrid.1 | . . 3 | |
3 | 2 | sseq1i 3123 | . 2 |
4 | 1, 3 | sylibr 133 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 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: eqsstrrid 3144 inss 3306 difsnss 3666 tpssi 3686 peano5 4512 xpsspw 4651 iotanul 5103 iotass 5105 fun 5295 fun11iun 5388 fvss 5435 fmpt 5570 fliftrel 5693 opabbrex 5815 1stcof 6061 2ndcof 6062 tfrlemibacc 6223 tfrlemibfn 6225 tfr1onlemssrecs 6236 tfr1onlembacc 6239 tfr1onlembfn 6241 tfrcllemssrecs 6249 tfrcllembacc 6252 tfrcllembfn 6254 caucvgprlemladdrl 7486 peano5nnnn 7700 peano5nni 8723 un0addcl 9010 un0mulcl 9011 strleund 12047 cnptopco 12391 cnconst2 12402 xmetresbl 12609 blsscls2 12662 bj-omtrans 13154 |
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