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Theorem e00 39312
Description: Elimination rule identical to mp2 9. The non-virtual deduction form is the virtual deduction form, which is mp2 9. (Contributed by Alan Sare, 14-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
e00.1 𝜑
e00.2 𝜓
e00.3 (𝜑 → (𝜓𝜒))
Assertion
Ref Expression
e00 𝜒

Proof of Theorem e00
StepHypRef Expression
1 e00.1 . 2 𝜑
2 e00.2 . 2 𝜓
3 e00.3 . 2 (𝜑 → (𝜓𝜒))
41, 2, 3mp2 9 1 𝜒
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5
This theorem is referenced by:  3impexpVD  39405  3impexpbicomVD  39406
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