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Theorem ax12conj2 29167
 Description: Conjectured alternative to ax-12 1937. (Contributed by NM, 7-Nov-2015.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
ax12conj2.1
Assertion
Ref Expression
ax12conj2
Distinct variable groups:   ,   ,

Proof of Theorem ax12conj2
StepHypRef Expression
1 sp 1753 . . . . . 6
21con3i 127 . . . . 5
3 sp 1753 . . . . . 6
43con2i 112 . . . . 5
52, 4anandii 29166 . . . 4
6 ax12conj2.1 . . . . 5
76imp 418 . . . 4
85, 7sylbi 187 . . 3
9 pm4.79 566 . . 3
108, 9mpbir 200 . 2
11 impexp 433 . . 3
12 impexp 433 . . 3
1311, 12orbi12i 507 . 2
1410, 13mpbi 199 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4   wo 357   wa 358  wal 1545 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1551  ax-5 1562  ax-17 1621  ax-9 1659  ax-8 1680  ax-11 1751 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-ex 1547
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