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Theorem dfvd2imp 41925
Description: The virtual deduction form of a 2-antecedent nested implication implies the 2-antecedent nested implication. (Contributed by Alan Sare, 21-Apr-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
dfvd2imp ((   𝜑   ,   𝜓   ▶   𝜒   ) → (𝜑 → (𝜓𝜒)))

Proof of Theorem dfvd2imp
StepHypRef Expression
1 dfvd2 41901 . 2 ((   𝜑   ,   𝜓   ▶   𝜒   ) ↔ (𝜑 → (𝜓𝜒)))
21biimpi 219 1 ((   𝜑   ,   𝜓   ▶   𝜒   ) → (𝜑 → (𝜓𝜒)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  (   wvd2 41899
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  df-an 400  df-vd2 41900
This theorem is referenced by: (None)
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