Theorem 3mix3

Description: Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995)

	Ref	Expression
Assertion	3mix3	⊢ ( 𝜑 → ( 𝜓 ∨ 𝜒 ∨ 𝜑 ) )

Proof

Step	Hyp	Ref	Expression
1		3mix1	⊢ ( 𝜑 → ( 𝜑 ∨ 𝜓 ∨ 𝜒 ) )
2		3orrot	⊢ ( ( 𝜑 ∨ 𝜓 ∨ 𝜒 ) ↔ ( 𝜓 ∨ 𝜒 ∨ 𝜑 ) )
3	1 2	sylib	⊢ ( 𝜑 → ( 𝜓 ∨ 𝜒 ∨ 𝜑 ) )