Theorem pm3.43i

Description: Nested conjunction of antecedents. (Contributed by NM, 4-Jan-1993)

	Ref	Expression
Assertion	pm3.43i	$$⊢\left(\phi \to \psi \right)\to \left(\left(\phi \to \chi \right)\to \left(\phi \to \left(\psi \wedge \chi \right)\right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		pm3.2	$$⊢\psi \to \left(\chi \to \left(\psi \wedge \chi \right)\right)$$
2	1	imim3i	$$⊢\left(\phi \to \psi \right)\to \left(\left(\phi \to \chi \right)\to \left(\phi \to \left(\psi \wedge \chi \right)\right)\right)$$