Theorem orcomd

Description: Commutation of disjuncts in consequent. (Contributed by NM, 2-Dec-2010)

	Ref	Expression
Hypothesis	orcomd.1	⊢ ( 𝜑 → ( 𝜓 ∨ 𝜒 ) )
Assertion	orcomd	⊢ ( 𝜑 → ( 𝜒 ∨ 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		orcomd.1	⊢ ( 𝜑 → ( 𝜓 ∨ 𝜒 ) )
2		orcom	⊢ ( ( 𝜓 ∨ 𝜒 ) ↔ ( 𝜒 ∨ 𝜓 ) )
3	1 2	sylib	⊢ ( 𝜑 → ( 𝜒 ∨ 𝜓 ) )