Theorem pm4.76

Description: Theorem *4.76 of WhiteheadRussell p. 121. (Contributed by NM, 3-Jan-2005)

	Ref	Expression
Assertion	pm4.76	$$⊢\left(\left(\phi \to \psi \right)\wedge \left(\phi \to \chi \right)\right)\leftrightarrow \left(\phi \to \left(\psi \wedge \chi \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		jcab	$$⊢\left(\phi \to \left(\psi \wedge \chi \right)\right)\leftrightarrow \left(\left(\phi \to \psi \right)\wedge \left(\phi \to \chi \right)\right)$$
2	1	bicomi	$$⊢\left(\left(\phi \to \psi \right)\wedge \left(\phi \to \chi \right)\right)\leftrightarrow \left(\phi \to \left(\psi \wedge \chi \right)\right)$$