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Theorem ralbiiOLD 2949
Description: Obsolete proof of ralbii 2863 as of 4-Dec-2019. (Contributed by NM, 23-Nov-1994.) (Revised by Mario Carneiro, 17-Oct-2016.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
rexbiiOLD.1  |-  ( ph  <->  ps )
Assertion
Ref Expression
ralbiiOLD  |-  ( A. x  e.  A  ph  <->  A. x  e.  A  ps )

Proof of Theorem ralbiiOLD
StepHypRef Expression
1 rexbiiOLD.1 . . . 4  |-  ( ph  <->  ps )
21a1i 11 . . 3  |-  ( T. 
->  ( ph  <->  ps )
)
32ralbidv 2871 . 2  |-  ( T. 
->  ( A. x  e.  A  ph  <->  A. x  e.  A  ps )
)
43trud 1446 1  |-  ( A. x  e.  A  ph  <->  A. x  e.  A  ps )
Colors of variables: wff setvar class
Syntax hints:    <-> wb 187   T. wtru 1438   A.wral 2782
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1665  ax-4 1678  ax-5 1751
This theorem depends on definitions:  df-bi 188  df-an 372  df-tru 1440  df-ral 2787
This theorem is referenced by: (None)
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