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Theorem sbc2iedv 2981
 Description: Conversion of implicit substitution to explicit class substitution. (Contributed by NM, 16-Dec-2008.) (Proof shortened by Mario Carneiro, 18-Oct-2016.)
Hypotheses
Ref Expression
sbc2iedv.1
sbc2iedv.2
sbc2iedv.3
Assertion
Ref Expression
sbc2iedv
Distinct variable groups:   ,,   ,   ,,   ,,
Allowed substitution hints:   (,)   ()

Proof of Theorem sbc2iedv
StepHypRef Expression
1 sbc2iedv.1 . . 3
21a1i 9 . 2
3 sbc2iedv.2 . . . 4
43a1i 9 . . 3
5 sbc2iedv.3 . . . 4
65impl 377 . . 3
74, 6sbcied 2945 . 2
82, 7sbcied 2945 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103   wb 104   wceq 1331   wcel 1480  cvv 2686  wsbc 2909 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2121 This theorem depends on definitions:  df-bi 116  df-3an 964  df-tru 1334  df-nf 1437  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-nfc 2270  df-v 2688  df-sbc 2910 This theorem is referenced by:  dfoprab3  6089
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