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Theorem unisym1 26165
Description: A symmetry with  A..

See negsym1 26159 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 1337 . . 3  |-  (  F. 
->  A. x ph )
21sps 1770 . 2  |-  ( A. x  F.  ->  A. x ph )
32sps 1770 1  |-  ( A. x A. x  F.  ->  A. x ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4    F. wfal 1326   A.wal 1549
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-11 1761
This theorem depends on definitions:  df-bi 178  df-tru 1328  df-fal 1329  df-ex 1551
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