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Theorem ss2rab 3016
 Description: Restricted abstraction classes in a subclass relationship. (Contributed by NM, 30-May-1999.)
Assertion
Ref Expression
ss2rab

Proof of Theorem ss2rab
StepHypRef Expression
1 df-rab 2315 . . 3
2 df-rab 2315 . . 3
31, 2sseq12i 2971 . 2
4 ss2ab 3008 . 2
5 df-ral 2311 . . 3
6 imdistan 418 . . . 4
76albii 1359 . . 3
85, 7bitr2i 174 . 2
93, 4, 83bitri 195 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 97   wb 98  wal 1241   wcel 1393  cab 2026  wral 2306  crab 2310   wss 2917 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-nfc 2167  df-ral 2311  df-rab 2315  df-in 2924  df-ss 2931 This theorem is referenced by:  ss2rabdv  3021  ss2rabi  3022
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