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Theorem dfvd1imp 39108
Description: Left-to-right part of definition of virtual deduction. (Contributed by Alan Sare, 21-Apr-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
dfvd1imp ((   𝜑   ▶   𝜓   ) → (𝜑𝜓))

Proof of Theorem dfvd1imp
StepHypRef Expression
1 df-vd1 39103 . 2 ((   𝜑   ▶   𝜓   ) ↔ (𝜑𝜓))
21biimpi 206 1 ((   𝜑   ▶   𝜓   ) → (𝜑𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  (   wvd1 39102
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 197  df-vd1 39103
This theorem is referenced by:  gen11  39158
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