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Theorem ss2rab 3342
 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 2623 . . 3
2 df-rab 2623 . . 3
31, 2sseq12i 3297 . 2
4 ss2ab 3334 . 2
5 df-ral 2619 . . 3
6 imdistan 670 . . . 4
76albii 1566 . . 3
85, 7bitr2i 241 . 2
93, 4, 83bitri 262 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   wa 358  wal 1540   wcel 1710  cab 2339  wral 2614  crab 2618   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-ral 2619  df-rab 2623  df-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-ss 3259 This theorem is referenced by:  ss2rabdv  3347  ss2rabi  3348
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