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Theorem spcimgf 3029
 Description: Rule of specialization, using implicit substitution. Compare Theorem 7.3 of [Quine] p. 44. (Contributed by Mario Carneiro, 4-Jan-2017.)
Hypotheses
Ref Expression
spcimgf.1
spcimgf.2
spcimgf.3
Assertion
Ref Expression
spcimgf

Proof of Theorem spcimgf
StepHypRef Expression
1 spcimgf.2 . . 3
2 spcimgf.1 . . 3
31, 2spcimgft 3027 . 2
4 spcimgf.3 . 2
53, 4mpg 1557 1
 Colors of variables: wff set class Syntax hints:   wi 4  wal 1549  wnf 1553   wceq 1652   wcel 1725  wnfc 2559 This theorem is referenced by:  spcimegf  3030 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2423  df-cleq 2429  df-clel 2432  df-nfc 2561  df-v 2958
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