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Theorem rabeqbidv 2854
 Description: Equality of restricted class abstractions. (Contributed by Jeff Madsen, 1-Dec-2009.)
Hypotheses
Ref Expression
rabeqbidv.1
rabeqbidv.2
Assertion
Ref Expression
rabeqbidv
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem rabeqbidv
StepHypRef Expression
1 rabeqbidv.1 . . 3
2 rabeq 2853 . . 3
31, 2syl 15 . 2
4 rabeqbidv.2 . . 3
54rabbidv 2851 . 2
63, 5eqtrd 2385 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   wceq 1642  crab 2618 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 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-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 This theorem is referenced by:  pmvalg  6010
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