Theorem naim2i

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

	Ref	Expression
Hypotheses	naim2i.1	$$⊢\phi \to \psi$$
	naim2i.2	$$⊢\left(\chi ⊼\psi \right)$$
Assertion	naim2i	$$⊢\left(\chi ⊼\phi \right)$$

Proof

Step	Hyp	Ref	Expression
1		naim2i.1	$$⊢\phi \to \psi$$
2		naim2i.2	$$⊢\left(\chi ⊼\psi \right)$$
3		naim2	$$⊢\left(\phi \to \psi \right)\to \left(\left(\chi ⊼\psi \right)\to \left(\chi ⊼\phi \right)\right)$$
4	1 2 3	mp2	$$⊢\left(\chi ⊼\phi \right)$$