Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > sseq2d | Unicode version |
Description: An equality deduction for the subclass relationship. (Contributed by NM, 14-Aug-1994.) |
Ref | Expression |
---|---|
sseq1d.1 |
Ref | Expression |
---|---|
sseq2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sseq1d.1 | . 2 | |
2 | sseq2 3116 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1331 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: sseq12d 3123 sseqtrd 3130 exmidsssn 4120 exmidsssnc 4121 onsucsssucexmid 4437 sbcrel 4620 funimass2 5196 fnco 5226 fnssresb 5230 fnimaeq0 5239 foimacnv 5378 fvelimab 5470 ssimaexg 5476 fvmptss2 5489 rdgss 6273 summodclem2 11144 summodc 11145 zsumdc 11146 fsum3cvg3 11158 ennnfoneleminc 11913 isbasisg 12200 tgval 12207 tgss3 12236 restbasg 12326 tgrest 12327 restopn2 12341 cnpnei 12377 cnptopresti 12396 txbas 12416 elmopn 12604 neibl 12649 dvfgg 12815 |
Copyright terms: Public domain | W3C validator |