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Theorem e000 39413
Description: A virtual deduction elimination rule. The non-virtual deduction form of e000 39413 is the virtual deduction form. (Contributed by Alan Sare, 14-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
e000.1 𝜑
e000.2 𝜓
e000.3 𝜒
e000.4 (𝜑 → (𝜓 → (𝜒𝜃)))
Assertion
Ref Expression
e000 𝜃

Proof of Theorem e000
StepHypRef Expression
1 e000.3 . 2 𝜒
2 e000.1 . . 3 𝜑
3 e000.2 . . 3 𝜓
4 e000.4 . . 3 (𝜑 → (𝜓 → (𝜒𝜃)))
52, 3, 4mp2 9 . 2 (𝜒𝜃)
61, 5ax-mp 5 1 𝜃
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5
This theorem is referenced by:  ax6e2ndeqVD  39561
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