Metamath Proof Explorer


Theorem dftru2

Description: An alternate definition of "true" (see comment of df-tru ). The associated justification theorem is monothetic . (Contributed by Anthony Hart, 13-Oct-2010) (Revised by BJ, 12-Jul-2019) Use tru instead. (New usage is discouraged.)

Ref Expression
Assertion dftru2
|- ( T. <-> ( ph -> ph ) )

Proof

Step Hyp Ref Expression
1 tru
 |-  T.
2 id
 |-  ( ph -> ph )
3 1 2 2th
 |-  ( T. <-> ( ph -> ph ) )