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Theorem rspc2va 2663
 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 2662 . 2
43imp 115 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 97   wb 98   wceq 1243   wcel 1393  wral 2306 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-nfc 2167  df-ral 2311  df-v 2559 This theorem is referenced by:  swopo  4043  ordtri2orexmid  4248  onsucelsucexmid  4255  ordsucunielexmid  4256  ordtri2or2exmid  4296  isocnv  5451  isotr  5456  off  5724  caofrss  5735  iseqcaopr2  9241  iseqdistr  9249
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