NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  rabeq Unicode version

Theorem rabeq 2853
Description: Equality theorem for restricted class abstractions. (Contributed by NM, 15-Oct-2003.)
Assertion
Ref Expression
rabeq
Distinct variable groups:   ,   ,
Allowed substitution hint:   ()

Proof of Theorem rabeq
StepHypRef Expression
1 nfcv 2489 . 2  F/_
2 nfcv 2489 . 2  F/_
31, 2rabeqf 2852 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wceq 1642  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:  rabeqbidv  2854  rabeqbidva  2855  ifeq1  3666  ifeq2  3667
  Copyright terms: Public domain W3C validator