Theorem e0bi 39003

Description: Elimination rule identical to mpbi 220. The non-virtual deduction form is the virtual deduction form, which is mpbi 220. (Contributed by Alan Sare, 15-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
e0bi.1	|- ph
e0bi.2	|- ( ph <-> ps )

Assertion

Ref	Expression
e0bi	|- ps

Proof of Theorem e0bi

Step	Hyp	Ref	Expression
1		e0bi.1	. 2 |- ph
2		e0bi.2	. 2 |- ( ph <-> ps )
3	1, 2	mpbi 220	1 |- ps

Syntax hints:   <-> wb 196

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197

This theorem is referenced by: (None)