Theorem falanfal 1339

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

Assertion

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

Proof of Theorem falanfal

Step	Hyp	Ref	Expression
1		anidm 625	1 |- (( F. /\ F. ) <-> F. )

This proof depends on syntax axioms:   <-> wb 176   /\ wa 358   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

This theorem is used by: (None)