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Theorem bj-denot 32662
Description: A weakening of ax-6 1888 and ax6v 1889. (Contributed by BJ, 4-Apr-2021.) (New usage is discouraged.)
Assertion
Ref Expression
bj-denot  |-  ( x  =  x  ->  -.  A. y  -.  y  =  x )
Distinct variable group:    x, y

Proof of Theorem bj-denot
StepHypRef Expression
1 ax6v 1889 . 2  |-  -.  A. y  -.  y  =  x
21a1i 11 1  |-  ( x  =  x  ->  -.  A. y  -.  y  =  x )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4   A.wal 1481
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-6 1888
This theorem is referenced by: (None)
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