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Theorem 3orbi123VD 28626
Description: Virtual deduction proof of 3orbi123 28273. The following user's proof is completed by invoking mmj2's unify command and using mmj2's StepSelector to pick all remaining steps of the Metamath proof.
 1:: 2:1,?: e1_ 28399 3:1,?: e1_ 28399 4:1,?: e1_ 28399 5:2,3,?: e11 28460 6:5,4,?: e11 28460 7:?: 8:6,7,?: e10 28467 9:?: 10:8,9,?: e10 28467 qed:10:
(Contributed by Alan Sare, 31-Dec-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
3orbi123VD

Proof of Theorem 3orbi123VD
StepHypRef Expression
1 idn1 28342 . . . . . . 7
2 simp1 955 . . . . . . 7
31, 2e1_ 28399 . . . . . 6
4 simp2 956 . . . . . . 7
51, 4e1_ 28399 . . . . . 6
6 pm4.39 841 . . . . . . 7
76ex 423 . . . . . 6
83, 5, 7e11 28460 . . . . 5
9 simp3 957 . . . . . 6
101, 9e1_ 28399 . . . . 5
11 pm4.39 841 . . . . . 6
1211ex 423 . . . . 5
138, 10, 12e11 28460 . . . 4
14 df-3or 935 . . . . 5
1514bicomi 193 . . . 4
16 bitr3 28272 . . . . 5
1716com12 27 . . . 4
1813, 15, 17e10 28467 . . 3
19 df-3or 935 . . . 4
2019bicomi 193 . . 3
21 bitr 689 . . . 4
2221ex 423 . . 3
2318, 20, 22e10 28467 . 2
2423in1 28339 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 176   wo 357   w3o 933   w3a 934 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-3or 935  df-3an 936  df-vd1 28338
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