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Metamath Proof Explorer

Theorem pm3.43i

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

		Ref	Expression
	Assertion	pm3.43i	$⊢ (φ \to ψ) \to ((φ \to χ) \to (φ \to (ψ \land χ)))$

Step	Hyp	Ref	Expression
1		pm3.2	$⊢ ψ \to (χ \to (ψ \land χ))$
2	1	imim3i	$⊢ (φ \to ψ) \to ((φ \to χ) \to (φ \to (ψ \land χ)))$