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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 ⊢ ( ( ⊤ ∨ ⊥ ) ↔ ⊤ )