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Theorem dfvd2i 42959
Description: Inference form of dfvd2 42953. (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 42953 . 2 ((   𝜑   ,   𝜓   ▶   𝜒   ) ↔ (𝜑 → (𝜓𝜒)))
31, 2mpbi 229 1 (𝜑 → (𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  (   wvd2 42951
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 206  df-an 398  df-vd2 42952
This theorem is referenced by:  vd23  42976  in2  42979  in2an  42982  gen21  42993  gen21nv  42994  gen22  42996  exinst  42998  exinst01  42999  exinst11  43000  e2  43005  e222  43010  e233  43139  e323  43140
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