Theorem truanfal 1337

Description: A /\ identity. (Contributed by Anthony Hart, 22-Oct-2010.)

Assertion

Ref	Expression
truanfal	|- (( T. /\ F. ) <-> F. )

Proof of Theorem truanfal

Step	Hyp	Ref	Expression
1		fal 1322	. . 3 |- -. F.
2	1	intnan 880	. 2 |- -. ( T. /\ F. )
3	2	bifal 1327	1 |- (( T. /\ F. ) <-> F. )

Syntax hints:   <-> wb 176   /\ wa 358   T. wtru 1316   F. wfal 1317

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-fal 1320

This theorem is referenced by:  trunanfal  1355