Theorem bothtbothsame

Description: Given both a, b are equivalent to T. , there exists a proof for a is the same as b. (Contributed by Jarvin Udandy, 31-Aug-2016)

	Ref	Expression
Hypotheses	bothtbothsame.1	|- ( ph <-> T. )
	bothtbothsame.2	|- ( ps <-> T. )
Assertion	bothtbothsame	|- ( ph <-> ps )

Proof

Step	Hyp	Ref	Expression
1		bothtbothsame.1	|- ( ph <-> T. )
2		bothtbothsame.2	|- ( ps <-> T. )
3	1 2	bitr4i	|- ( ph <-> ps )