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Theorem dfvd2i 44583
Description: Inference form of dfvd2 44577. (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 44577 . 2 ((   𝜑   ,   𝜓   ▶   𝜒   ) ↔ (𝜑 → (𝜓𝜒)))
31, 2mpbi 230 1 (𝜑 → (𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  (   wvd2 44575
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 207  df-an 396  df-vd2 44576
This theorem is referenced by:  vd23  44600  in2  44603  in2an  44606  gen21  44617  gen21nv  44618  gen22  44620  exinst  44622  exinst01  44623  exinst11  44624  e2  44629  e222  44634  e233  44763  e323  44764
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