Theorem e00an

Description: Elimination rule identical to mp2an . The non-virtual deduction form is the virtual deduction form, which is mp2an . (Contributed by Alan Sare, 15-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e00an.1	$$⊢\phi$$
	e00an.2	$$⊢\psi$$
	e00an.3	$$⊢\left(\phi \wedge \psi \right)\to \chi$$
Assertion	e00an	$$⊢\chi$$

Proof

Step	Hyp	Ref	Expression
1		e00an.1	$$⊢\phi$$
2		e00an.2	$$⊢\psi$$
3		e00an.3	$$⊢\left(\phi \wedge \psi \right)\to \chi$$
4	1 2 3	mp2an	$$⊢\chi$$