Theorem imim2d

Description: Deduction adding nested antecedents. Deduction associated with imim2 and imim2i . (Contributed by NM, 10-Jan-1993)

	Ref	Expression
Hypothesis	imim2d.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
Assertion	imim2d	$$⊢\phi \to \left(\left(\theta \to \psi \right)\to \left(\theta \to \chi \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		imim2d.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
2	1	a1d	$$⊢\phi \to \left(\theta \to \left(\psi \to \chi \right)\right)$$
3	2	a2d	$$⊢\phi \to \left(\left(\theta \to \psi \right)\to \left(\theta \to \chi \right)\right)$$