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Theorem rabeq2i 2856
Description: Inference rule from equality of a class variable and a restricted class abstraction. (Contributed by NM, 16-Feb-2004.)
Hypothesis
Ref Expression
rabeqi.1
Assertion
Ref Expression
rabeq2i

Proof of Theorem rabeq2i
StepHypRef Expression
1 rabeqi.1 . . 3
21eleq2i 2417 . 2
3 rabid 2787 . 2
42, 3bitri 240 1
Colors of variables: wff setvar class
Syntax hints:   wb 176   wa 358   wceq 1642   wcel 1710  crab 2618
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-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-rab 2623
This theorem is referenced by:  fvmptss  5705
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