Users' Mathboxes Mathbox for Anthony Hart < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  extt Unicode version

Theorem extt 26058
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 26055 . 2  |-  A. x  T.
2 19.2 1667 . 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 1322   A.wal 1546   E.wex 1547
This theorem is referenced by:  mont  26063
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1552  ax-5 1563  ax-9 1662
This theorem depends on definitions:  df-bi 178  df-an 361  df-tru 1325  df-ex 1548
  Copyright terms: Public domain W3C validator