Theorem falanfal 1453

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 400	1 |- ( ( F. /\ F. ) <-> F. )

This proof depends on syntax axioms:   /\ wa 104   <-> wb 105   F. wfal 1407

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108

This proof depends on definitions:  df-bi 117

This theorem is used by: (None)