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Theorem ssintab 3943
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:   ,
Allowed substitution hint:   ()

Proof of Theorem ssintab
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ssint 3942 . 2
2 sseq2 3293 . . 3
32ralab2 3001 . 2
41, 3bitri 240 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176  wal 1540  cab 2339  wral 2614   wss 3257  cint 3926
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-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-ss 3259  df-int 3927
This theorem is referenced by:  ssmin  3945  ssintrab  3949  intmin4  3955
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