Theorem e0bi 16638

Description: Elimination rule identical to mpbi 206. The non-virtual deduction form is the virtual deduction form, which is mpbi 206.

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 206	1 |- ps

Syntax hints:   <-> wb 163

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 164

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