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	$$⊢\top \leftrightarrow \left(\phi \to \phi \right)$$

Proof

Step	Hyp	Ref	Expression
1		tru	$$⊢\top$$
2		id	$$⊢\phi \to \phi$$
3	1 2	2th	$$⊢\top \leftrightarrow \left(\phi \to \phi \right)$$