Theorem naim1i

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

	Ref	Expression
Hypotheses	naim1i.1	$$⊢\phi \to \psi$$
	naim1i.2	$$⊢\left(\psi ⊼\chi \right)$$
Assertion	naim1i	$$⊢\left(\phi ⊼\chi \right)$$

Proof

Step	Hyp	Ref	Expression
1		naim1i.1	$$⊢\phi \to \psi$$
2		naim1i.2	$$⊢\left(\psi ⊼\chi \right)$$
3		naim1	$$⊢\left(\phi \to \psi \right)\to \left(\left(\psi ⊼\chi \right)\to \left(\phi ⊼\chi \right)\right)$$
4	1 2 3	mp2	$$⊢\left(\phi ⊼\chi \right)$$