Theorem e0bir

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

	Ref	Expression
Hypotheses	e0bir.1	⊢ 𝜑
	e0bir.2	⊢ ( 𝜓 ↔ 𝜑 )
Assertion	e0bir	⊢ 𝜓

Proof

Step	Hyp	Ref	Expression
1		e0bir.1	⊢ 𝜑
2		e0bir.2	⊢ ( 𝜓 ↔ 𝜑 )
3	1 2	mpbir	⊢ 𝜓