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Theorem spcimdv 2691
 Description: Restricted specialization, using implicit substitution. (Contributed by Mario Carneiro, 4-Jan-2017.)
Hypotheses
Ref Expression
spcimdv.1
spcimdv.2
Assertion
Ref Expression
spcimdv
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem spcimdv
StepHypRef Expression
1 spcimdv.2 . . . 4
21ex 113 . . 3
32alrimiv 1797 . 2
4 spcimdv.1 . 2
5 nfv 1462 . . 3
6 nfcv 2223 . . 3
75, 6spcimgft 2683 . 2
83, 4, 7sylc 61 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 102  wal 1283   wceq 1285   wcel 1434 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663  ax-5 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-10 1437  ax-11 1438  ax-i12 1439  ax-bndl 1440  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2065 This theorem depends on definitions:  df-bi 115  df-tru 1288  df-nf 1391  df-sb 1688  df-clab 2070  df-cleq 2076  df-clel 2079  df-nfc 2212  df-v 2612 This theorem is referenced by:  spcdv  2692  rspcimdv  2711
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