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Theorem spcdv 3192
 Description: Rule of specialization, using implicit substitution. Analogous to rspcdv 3213. (Contributed by David Moews, 1-May-2017.)
Hypotheses
Ref Expression
spcimdv.1
spcdv.2
Assertion
Ref Expression
spcdv
Distinct variable groups:   ,   ,   ,

Proof of Theorem spcdv
StepHypRef Expression
1 spcimdv.1 . 2
2 spcdv.2 . . 3
32biimpd 207 . 2
41, 3spcimdv 3191 1
 Colors of variables: wff setvar class Syntax hints:  ->wi 4  <->wb 184  /\wa 369  A.wal 1393  =wceq 1395  e.wcel 1818 This theorem is referenced by:  mrissmrcd  15037 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435 This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-v 3111
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