Theorem naim12i

Description: Constructor rule for -/\ . (Contributed by Anthony Hart, 2-Sep-2011)

	Ref	Expression
Hypotheses	naim12i.1	⊢ ( 𝜑 → 𝜓 )
	naim12i.2	⊢ ( 𝜒 → 𝜃 )
	naim12i.3	⊢ ( 𝜓 ⊼ 𝜃 )
Assertion	naim12i	⊢ ( 𝜑 ⊼ 𝜒 )

Proof

Step	Hyp	Ref	Expression
1		naim12i.1	⊢ ( 𝜑 → 𝜓 )
2		naim12i.2	⊢ ( 𝜒 → 𝜃 )
3		naim12i.3	⊢ ( 𝜓 ⊼ 𝜃 )
4	1 3	naim1i	⊢ ( 𝜑 ⊼ 𝜃 )
5	2 4	naim2i	⊢ ( 𝜑 ⊼ 𝜒 )