Theorem aisbbisfaisf

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

	Ref	Expression
Hypotheses	aisbbisfaisf.1	⊢ ( 𝜑 ↔ 𝜓 )
	aisbbisfaisf.2	⊢ ( 𝜓 ↔ ⊥ )
Assertion	aisbbisfaisf	⊢ ( 𝜑 ↔ ⊥ )

Proof

Step	Hyp	Ref	Expression
1		aisbbisfaisf.1	⊢ ( 𝜑 ↔ 𝜓 )
2		aisbbisfaisf.2	⊢ ( 𝜓 ↔ ⊥ )
3	1 2	bitri	⊢ ( 𝜑 ↔ ⊥ )