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Theorem spcimgft 2930
 Description: A closed version of spcimgf 2932. (Contributed by Mario Carneiro, 4-Jan-2017.)
Hypotheses
Ref Expression
spcimgft.1
spcimgft.2
Assertion
Ref Expression
spcimgft

Proof of Theorem spcimgft
StepHypRef Expression
1 elex 2867 . 2
2 spcimgft.2 . . . . 5
32issetf 2864 . . . 4
4 exim 1575 . . . 4
53, 4syl5bi 208 . . 3
6 spcimgft.1 . . . 4
7619.36 1871 . . 3
85, 7syl6ib 217 . 2
91, 8syl5 28 1
 Colors of variables: wff setvar class Syntax hints:   wi 4  wal 1540  wex 1541  wnf 1544   wceq 1642   wcel 1710  wnfc 2476  cvv 2859 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:  spcgft  2931  spcimgf  2932  spcimdv  2936
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