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Theorem extt 26159
Description: There exists a set that holds  T. as true. (Contributed by Anthony Hart, 13-Sep-2011.)
Assertion
Ref Expression
extt  |-  E. x  T.

Proof of Theorem extt
StepHypRef Expression
1 allt 26156 . 2  |-  A. x  T.
2 19.2 1672 . 2  |-  ( A. x  T.  ->  E. x  T.  )
31, 2ax-mp 5 1  |-  E. x  T.
Colors of variables: wff set class
Syntax hints:    T. wtru 1326   A.wal 1550   E.wex 1551
This theorem is referenced by:  mont  26164
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-9 1667
This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1329  df-ex 1552
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