Theorem falantru 1508

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 1490	. . 3 |- -. F.
2	1	intnanr 961	. 2 |- -. ( F. /\ T. )
3	2	bifal 1497	1 |- ( ( F. /\ T. ) <-> F. )

Syntax hints:   <-> wb 196   /\ wa 384   T. wtru 1484   F. wfal 1488

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 197  df-an 386  df-tru 1486  df-fal 1489

This theorem is referenced by: (None)