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	⊢ ( 𝜑 ↔ ⊤ )
Assertion	aistia	⊢ 𝜑

Proof

Step	Hyp	Ref	Expression
1		aistia.1	⊢ ( 𝜑 ↔ ⊤ )
2		tbtru	⊢ ( 𝜑 ↔ ( 𝜑 ↔ ⊤ ) )
3	1 2	mpbir	⊢ 𝜑