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Metamath Proof Explorer

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	⊢ 𝜑
	e00.2	⊢ 𝜓
	e00.3	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
Assertion	e00	⊢ 𝜒

Proof

Step	Hyp	Ref	Expression
1		e00.1	⊢ 𝜑
2		e00.2	⊢ 𝜓
3		e00.3	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
4	1 2 3	mp2	⊢ 𝜒