Theorem bj-falor2

Description: Dual of truan . (Contributed by BJ, 26-Oct-2019) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-falor2	⊢ ( ( ⊥ ∨ 𝜑 ) ↔ 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		falim	⊢ ( ⊥ → 𝜑 )
2	1	bj-jaoi1	⊢ ( ( ⊥ ∨ 𝜑 ) → 𝜑 )
3		olc	⊢ ( 𝜑 → ( ⊥ ∨ 𝜑 ) )
4	2 3	impbii	⊢ ( ( ⊥ ∨ 𝜑 ) ↔ 𝜑 )