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Theorem dfvd2i 37822
Description: Inference form of dfvd2 37816. (Contributed by Alan Sare, 14-Nov-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
dfvd2i.1 (   𝜑   ,   𝜓   ▶   𝜒   )
Assertion
Ref Expression
dfvd2i (𝜑 → (𝜓𝜒))

Proof of Theorem dfvd2i
StepHypRef Expression
1 dfvd2i.1 . 2 (   𝜑   ,   𝜓   ▶   𝜒   )
2 dfvd2 37816 . 2 ((   𝜑   ,   𝜓   ▶   𝜒   ) ↔ (𝜑 → (𝜓𝜒)))
31, 2mpbi 219 1 (𝜑 → (𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  (   wvd2 37814
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 196  df-an 385  df-vd2 37815
This theorem is referenced by:  vd23  37848  in2  37851  in2an  37854  gen21  37865  gen21nv  37866  gen22  37868  exinst  37870  exinst01  37871  exinst11  37872  e2  37877  e222  37882  e233  38013  e323  38014
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