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Theorem bj-dtrucor 31459
Description: Remove dependency on ax-13 2101 from dtrucor 4646. (Contributed by BJ, 16-Jul-2019.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
bj-dtrucor.1  |-  x  =  y
Assertion
Ref Expression
bj-dtrucor  |-  x  =/=  y
Distinct variable group:    x, y

Proof of Theorem bj-dtrucor
StepHypRef Expression
1 bj-dtru 31456 . . 3  |-  -.  A. x  x  =  y
21pm2.21i 136 . 2  |-  ( A. x  x  =  y  ->  x  =/=  y )
3 bj-dtrucor.1 . 2  |-  x  =  y
42, 3mpg 1681 1  |-  x  =/=  y
Colors of variables: wff setvar class
Syntax hints:   A.wal 1452    =/= wne 2632
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1679  ax-4 1692  ax-5 1768  ax-6 1815  ax-7 1861  ax-8 1899  ax-9 1906  ax-10 1925  ax-11 1930  ax-12 1943  ax-nul 4547  ax-pow 4594
This theorem depends on definitions:  df-bi 190  df-an 377  df-tru 1457  df-ex 1674  df-nf 1678
This theorem is referenced by: (None)
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