Metamath Proof Explorer

Theorem trubitru

Description: A <-> identity. (Contributed by Anthony Hart, 22-Oct-2010) (Proof shortened by Andrew Salmon, 13-May-2011)

Ref Expression
Assertion trubitru ⊢ ⊤ ↔ ⊤ ↔ ⊤

Proof

Step Hyp Ref Expression
1 biid ⊢ ⊤ ↔ ⊤
2 1 bitru ⊢ ⊤ ↔ ⊤ ↔ ⊤