Theorem falnantru 1356

Description: A -/\ identity. (Contributed by Anthony Hart, 23-Oct-2010.) (Proof shortened by Andrew Salmon, 13-May-2011.)

Assertion

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

Proof of Theorem falnantru

Step	Hyp	Ref	Expression
1		nancom 1290	. 2 |- (( F. -/\ T. ) <-> ( T. -/\ F. ))
2		trunanfal 1355	. 2 |- (( T. -/\ F. ) <-> T. )
3	1, 2	bitri 240	1 |- (( F. -/\ T. ) <-> T. )

Syntax hints:   <-> wb 176   -/\ wnan 1287   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-nan 1288  df-tru 1319  df-fal 1320

This theorem is referenced by: (None)