Theorem aiffbbtat

Description: Given a is equivalent to b, b is equivalent to T. there exists a proof for a is equivalent to T. (Contributed by Jarvin Udandy, 29-Aug-2016)

	Ref	Expression
Hypotheses	aiffbbtat.1	⊢ ( 𝜑 ↔ 𝜓 )
	aiffbbtat.2	⊢ ( 𝜓 ↔ ⊤ )
Assertion	aiffbbtat	⊢ ( 𝜑 ↔ ⊤ )

Proof

Step	Hyp	Ref	Expression
1		aiffbbtat.1	⊢ ( 𝜑 ↔ 𝜓 )
2		aiffbbtat.2	⊢ ( 𝜓 ↔ ⊤ )
3	1 2	bitri	⊢ ( 𝜑 ↔ ⊤ )