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Theorem extt 25402
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 25399 . 2  |-  A. x  T.
2 19.2 1659 . 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 1316   A.wal 1540   E.wex 1541
This theorem is referenced by:  mont  25407
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-9 1654
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542
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