Metamath Proof Explorer


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 ( 𝜑 ↔ ⊤ )
bothtbothsame.2 ( 𝜓 ↔ ⊤ )
Assertion bothtbothsame ( 𝜑𝜓 )

Proof

Step Hyp Ref Expression
1 bothtbothsame.1 ( 𝜑 ↔ ⊤ )
2 bothtbothsame.2 ( 𝜓 ↔ ⊤ )
3 1 2 bitr4i ( 𝜑𝜓 )