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Theorem opabssxp 4837
Description: An abstraction relation is a subset of a related cross product. (Contributed by NM, 16-Jul-1995.)
Assertion
Ref Expression
opabssxp
Distinct variable groups:   ,,   ,,
Allowed substitution hints:   (,)

Proof of Theorem opabssxp
StepHypRef Expression
1 simpl 443 . . 3
21ssopab2i 4714 . 2
3 df-xp 4784 . 2
42, 3sseqtr4i 3304 1
Colors of variables: wff setvar class
Syntax hints:   wa 358   wcel 1710   wss 3257  copab 4622   cxp 4770
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-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-ss 3259  df-opab 4623  df-xp 4784
This theorem is referenced by:  dmoprabss  5575
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