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Theorem a12study8 29741
 Description: Experiment to study ax12o 1887. Closed form of ax12conj2 29730. (Contributed by NM, 6-Dec-1015.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
a12study8
Distinct variable groups:   ,   ,

Proof of Theorem a12study8
StepHypRef Expression
1 pm4.79 566 . 2
2 impexp 433 . . 3
3 impexp 433 . . 3
42, 3orbi12i 507 . 2
5 sp 1728 . . . . . 6
65con3i 127 . . . . 5
7 sp 1728 . . . . . 6
87con2i 112 . . . . 5
96, 8anandii 29729 . . . 4
109imbi1i 315 . . 3
11 impexp 433 . . 3
1210, 11bitri 240 . 2
131, 4, 123bitr3ri 267 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wb 176   wo 357   wa 358  wal 1530 This theorem is referenced by:  a12peros  29743 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606  ax-9 1644  ax-8 1661  ax-11 1727 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360
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