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Theorem rabeqf 2852
Description: Equality theorem for restricted class abstractions, with bound-variable hypotheses instead of distinct variable restrictions. (Contributed by NM, 7-Mar-2004.)
Hypotheses
Ref Expression
rabeqf.1  F/_
rabeqf.2  F/_
Assertion
Ref Expression
rabeqf

Proof of Theorem rabeqf
StepHypRef Expression
1 rabeqf.1 . . . 4  F/_
2 rabeqf.2 . . . 4  F/_
31, 2nfeq 2496 . . 3  F/
4 eleq2 2414 . . . 4
54anbi1d 685 . . 3
63, 5abbid 2466 . 2
7 df-rab 2623 . 2
8 df-rab 2623 . 2
96, 7, 83eqtr4g 2410 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   wceq 1642   wcel 1710  cab 2339   F/_wnfc 2476  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-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-rab 2623
This theorem is referenced by:  rabeq  2853
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