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Theorem ssintab 4303
Description: Subclass of the intersection of a class abstraction. (Contributed by NM, 31-Jul-2006.) (Proof shortened by Andrew Salmon, 9-Jul-2011.)
Assertion
Ref Expression
ssintab
Distinct variable group:   ,

Proof of Theorem ssintab
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ssint 4302 . 2
2 sseq2 3525 . . 3
32ralab2 3264 . 2
41, 3bitri 249 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  A.wal 1393  {cab 2442  A.wral 2807  C_wss 3475  |^|cint 4286
This theorem is referenced by:  ssmin  4305  ssintrab  4310  intmin4  4316  dffi2  7903  rankval3b  8265  sstskm  9241  dfuzi  10978  cycsubg  16229  ssmclslem  28925
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435
This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ral 2812  df-v 3111  df-in 3482  df-ss 3489  df-int 4287
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