Theorem impcom

Description: Importation inference with commuted antecedents. (Contributed by NM, 25-May-2005)

	Ref	Expression
Hypothesis	imp.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
Assertion	impcom	$$⊢\left(\psi \wedge \phi \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		imp.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
2	1	com12	$$⊢\psi \to \left(\phi \to \chi \right)$$
3	2	imp	$$⊢\left(\psi \wedge \phi \right)\to \chi$$