Theorem naim12i

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

	Ref	Expression
Hypotheses	naim12i.1	$$⊢\phi \to \psi$$
	naim12i.2	$$⊢\chi \to \theta$$
	naim12i.3	$$⊢\left(\psi ⊼\theta \right)$$
Assertion	naim12i	$$⊢\left(\phi ⊼\chi \right)$$

Proof

Step	Hyp	Ref	Expression
1		naim12i.1	$$⊢\phi \to \psi$$
2		naim12i.2	$$⊢\chi \to \theta$$
3		naim12i.3	$$⊢\left(\psi ⊼\theta \right)$$
4	1 3	naim1i	$$⊢\left(\phi ⊼\theta \right)$$
5	2 4	naim2i	$$⊢\left(\phi ⊼\chi \right)$$