Theorem e00

Description: Elimination rule identical to mp2 . The non-virtual deduction form is the virtual deduction form, which is mp2 . (Contributed by Alan Sare, 14-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e00.1	$$⊢\phi$$
	e00.2	$$⊢\psi$$
	e00.3	$$⊢\phi \to \left(\psi \to \chi \right)$$
Assertion	e00	$$⊢\chi$$

Proof

Step	Hyp	Ref	Expression
1		e00.1	$$⊢\phi$$
2		e00.2	$$⊢\psi$$
3		e00.3	$$⊢\phi \to \left(\psi \to \chi \right)$$
4	1 2 3	mp2	$$⊢\chi$$