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	$$⊢\phi \leftrightarrow \top$$
	bothtbothsame.2	$$⊢\psi \leftrightarrow \top$$
Assertion	bothtbothsame	$$⊢\phi \leftrightarrow \psi$$

Proof

Step	Hyp	Ref	Expression
1		bothtbothsame.1	$$⊢\phi \leftrightarrow \top$$
2		bothtbothsame.2	$$⊢\psi \leftrightarrow \top$$
3	1 2	bitr4i	$$⊢\phi \leftrightarrow \psi$$