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Theorem e0bir 41470
Description: Elimination rule identical to mpbir 234. The non-virtual deduction form is the virtual deduction form, which is mpbir 234. (Contributed by Alan Sare, 15-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
e0bir.1 𝜑
e0bir.2 (𝜓𝜑)
Assertion
Ref Expression
e0bir 𝜓

Proof of Theorem e0bir
StepHypRef Expression
1 e0bir.1 . 2 𝜑
2 e0bir.2 . 2 (𝜓𝜑)
31, 2mpbir 234 1 𝜓
Colors of variables: wff setvar class
Syntax hints:  wb 209
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 210
This theorem is referenced by: (None)
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