Theorem truconj 33903

Description: Add true as a conjunct. (Contributed by Giovanni Mascellani, 23-May-2019.)

Assertion

Ref	Expression
truconj	|- ( ph <-> ( T. /\ ph ) )

Proof of Theorem truconj

Step	Hyp	Ref	Expression
1		truan 1501	. 2 |- ( ( T. /\ ph ) <-> ph )
2	1	bicomi 214	1 |- ( ph <-> ( T. /\ ph ) )

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

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

This theorem is referenced by: (None)