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

Step	Hyp	Ref	Expression
1		spcimdv.1	. 2
2		spcdv.2	. . 3
3	2	biimpd 207	. 2
4	1, 3	spcimdv 3191	1

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