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Theorem rspc2va 2962
 Description: 2-variable restricted specialization, using implicit substitution. (Contributed by NM, 18-Jun-2014.)
Hypotheses
Ref Expression
rspc2v.1
rspc2v.2
Assertion
Ref Expression
rspc2va
Distinct variable groups:   ,,   ,   ,   ,,   ,   ,
Allowed substitution hints:   (,)   ()   ()   ()   ()

Proof of Theorem rspc2va
StepHypRef Expression
1 rspc2v.1 . . 3
2 rspc2v.2 . . 3
31, 2rspc2v 2961 . 2
43imp 418 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   wa 358   wceq 1642   wcel 1710  wral 2614 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-ral 2619  df-v 2861 This theorem is referenced by:  isocnv  5491
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