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	⊢ 𝜑
	e00an.2	⊢ 𝜓
	e00an.3	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )
Assertion	e00an	⊢ 𝜒

Proof

Step	Hyp	Ref	Expression
1		e00an.1	⊢ 𝜑
2		e00an.2	⊢ 𝜓
3		e00an.3	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )
4	1 2 3	mp2an	⊢ 𝜒