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Theorem unisym1 30072
Description: A symmetry with  A..

See negsym1 30066 for more information. (Contributed by Anthony Hart, 4-Sep-2011.) (Proof shortened by Mario Carneiro, 11-Dec-2016.)

Assertion
Ref Expression
unisym1  |-  ( A. x A. x F.  ->  A. x ph )

Proof of Theorem unisym1
StepHypRef Expression
1 falim 1409 . . 3  |-  ( F. 
->  A. x ph )
21sps 1866 . 2  |-  ( A. x F.  ->  A. x ph )
32sps 1866 1  |-  ( A. x A. x F.  ->  A. x ph )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4   A.wal 1393   F. wfal 1400
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1619  ax-4 1632  ax-5 1705  ax-6 1748  ax-7 1791  ax-12 1855
This theorem depends on definitions:  df-bi 185  df-tru 1398  df-fal 1401  df-ex 1614
This theorem is referenced by: (None)
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