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Theorem spcimdv 2936
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 423 . . 3
32alrimiv 1631 . 2
4 spcimdv.1 . 2
5 nfv 1619 . . 3  F/
6 nfcv 2489 . . 3  F/_
75, 6spcimgft 2930 . 2
83, 4, 7sylc 56 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358  wal 1540   wceq 1642   wcel 1710
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-v 2861
This theorem is referenced by:  spcdv  2937  spcimedv  2938  rspcimdv  2956
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