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Theorem extt 31064
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 31061 . 2  |-  A. x T.
2 19.2 1809 . 2  |-  ( A. x T.  ->  E. x T.  )
31, 2ax-mp 5 1  |-  E. x T.
Colors of variables: wff setvar class
Syntax hints:   A.wal 1442   T. wtru 1445   E.wex 1663
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1669  ax-4 1682  ax-6 1805
This theorem depends on definitions:  df-bi 189  df-tru 1447  df-ex 1664
This theorem is referenced by:  mont  31069
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