Theorem aistia

Description: Given a is equivalent to T. , there exists a proof for a. (Contributed by Jarvin Udandy, 30-Aug-2016)

	Ref	Expression
Hypothesis	aistia.1	$$⊢\phi \leftrightarrow \top$$
Assertion	aistia	$$⊢\phi$$

Proof

Step	Hyp	Ref	Expression
1		aistia.1	$$⊢\phi \leftrightarrow \top$$
2		tbtru	$$⊢\phi \leftrightarrow \left(\phi \leftrightarrow \top \right)$$
3	1 2	mpbir	$$⊢\phi$$