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Theorem sbc3orgOLD 36323
 Description: sbcorgOLD 36321 with a 3-disjuncts. This proof is sbc3orgVD 36681 automatically translated and minimized. (Contributed by Alan Sare, 31-Dec-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
sbc3orgOLD

Proof of Theorem sbc3orgOLD
StepHypRef Expression
1 sbcorgOLD 36321 . . 3
2 df-3or 975 . . . . 5
32bicomi 202 . . . 4
43sbcbiiOLD 36322 . . 3
5 sbcorgOLD 36321 . . . 4
65orbi1d 701 . . 3
71, 4, 63bitr3d 283 . 2
8 df-3or 975 . 2
97, 8syl6bbr 263 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 184   wo 366   w3o 973   wcel 1842  wsbc 3277 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1639  ax-4 1652  ax-5 1725  ax-6 1771  ax-7 1814  ax-10 1861  ax-11 1866  ax-12 1878  ax-13 2026  ax-ext 2380 This theorem depends on definitions:  df-bi 185  df-or 368  df-an 369  df-3or 975  df-tru 1408  df-ex 1634  df-nf 1638  df-sb 1764  df-clab 2388  df-cleq 2394  df-clel 2397  df-v 3061  df-sbc 3278 This theorem is referenced by:  sbcoreleleqVD  36690
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