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