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Theorem extt 24843
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 24840 . 2  |-  A. x  T.
2 19.2 1671 . 2  |-  ( A. x  T.  ->  E. x  T.  )
31, 2ax-mp 8 1  |-  E. x  T.
Colors of variables: wff set class
Syntax hints:    T. wtru 1307   A.wal 1527   E.wex 1528
This theorem is referenced by:  mont  24848
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1533  ax-5 1544  ax-17 1603  ax-9 1635  ax-8 1643
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1310  df-fal 1311  df-ex 1529
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