Theorem falantru 1338

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

Assertion

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

Proof of Theorem falantru

Step	Hyp	Ref	Expression
1		fal 1322	. . 3 |- -. F.
2	1	intnanr 881	. 2 |- -. ( F. /\ T. )
3	2	bifal 1327	1 |- (( F. /\ T. ) <-> F. )

This proof depends on syntax axioms:   <-> wb 176   /\ wa 358   T. wtru 1316   F. wfal 1317

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

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

This theorem is used by: (None)