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Theorem truconj 31783
Description: Add true as a conjunct. (Contributed by Giovanni Mascellani, 23-May-2019.)
Assertion
Ref Expression
truconj  |-  ( ph  <->  ( T.  /\  ph )
)

Proof of Theorem truconj
StepHypRef Expression
1 truan 1422 . 2  |-  ( ( T.  /\  ph )  <->  ph )
21bicomi 202 1  |-  ( ph  <->  ( T.  /\  ph )
)
Colors of variables: wff setvar class
Syntax hints:    <-> wb 184    /\ wa 367   T. wtru 1406
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 185  df-an 369  df-tru 1408
This theorem is referenced by: (None)
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