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Theorem sbciedf 3081
 Description: Conversion of implicit substitution to explicit class substitution, deduction form. (Contributed by NM, 29-Dec-2014.)
Hypotheses
Ref Expression
sbcied.1
sbcied.2
sbciedf.3
sbciedf.4
Assertion
Ref Expression
sbciedf
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()   ()

Proof of Theorem sbciedf
StepHypRef Expression
1 sbcied.1 . 2
2 sbciedf.4 . 2
3 sbciedf.3 . . 3
4 sbcied.2 . . . 4
54ex 423 . . 3
63, 5alrimi 1765 . 2
7 sbciegft 3076 . 2
81, 2, 6, 7syl3anc 1182 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   wa 358  wal 1540  wnf 1544   wceq 1642   wcel 1710  wsbc 3046 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-3an 936  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  df-sbc 3047 This theorem is referenced by:  sbcied  3082  sbc2iegf  3112  csbiebt  3172  sbcnestgf  3183
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