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Theorem e0bir 28552
Description: Elimination rule identical to mpbir 200. The non-virtual deduction form is the virtual deduction form, which is mpbir 200. (Contributed by Alan Sare, 15-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
e0bir.1  |-  ph
e0bir.2  |-  ( ps  <->  ph )
Assertion
Ref Expression
e0bir  |-  ps

Proof of Theorem e0bir
StepHypRef Expression
1 e0bir.1 . 2  |-  ph
2 e0bir.2 . 2  |-  ( ps  <->  ph )
31, 2mpbir 200 1  |-  ps
Colors of variables: wff set class
Syntax hints:    <-> wb 176
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177
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