Metamath Proof Explorer

Theorem truorfal

Description: A \/ identity. (Contributed by Anthony Hart, 22-Oct-2010)

Ref Expression
Assertion truorfal ⊢ ⊤ ∨ ⊥ ↔ ⊤

Proof

Step Hyp Ref Expression
1 tru ⊢ ⊤
2 1 orci ⊢ ⊤ ∨ ⊥
3 2 bitru ⊢ ⊤ ∨ ⊥ ↔ ⊤