Theorem extt 32403

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

Step	Hyp	Ref	Expression
1		allt 32400	. 2 |- A. x T.
2		19.2 1892	. 2 |- ( A. x T. -> E. x T. )
3	1, 2	ax-mp 5	1 |- E. x T.

Syntax hints:   A.wal 1481   T. wtru 1484   E.wex 1704

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-6 1888

This theorem depends on definitions:  df-bi 197  df-tru 1486  df-ex 1705

This theorem is referenced by:  mont  32408