Theorem e0a

Description: Elimination rule identical to ax-mp . The non-virtual deduction form is the virtual deduction form, which is ax-mp . (Contributed by Alan Sare, 14-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e0a.1	$$⊢\phi$$
	e0a.2	$$⊢\phi \to \psi$$
Assertion	e0a	$$⊢\psi$$

Proof

Step	Hyp	Ref	Expression
1		e0a.1	$$⊢\phi$$
2		e0a.2	$$⊢\phi \to \psi$$
3	1 2	ax-mp	$$⊢\psi$$