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Theorem dfvd3ani 37832
Description: Inference form of dfvd3an 37831. (Contributed by Alan Sare, 13-Jun-2015.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
dfvd3ani.1 (   (   𝜑   ,   𝜓   ,   𝜒   )   ▶   𝜃   )
Assertion
Ref Expression
dfvd3ani ((𝜑𝜓𝜒) → 𝜃)

Proof of Theorem dfvd3ani
StepHypRef Expression
1 dfvd3ani.1 . 2 (   (   𝜑   ,   𝜓   ,   𝜒   )   ▶   𝜃   )
2 dfvd3an 37831 . 2 ((   (   𝜑   ,   𝜓   ,   𝜒   )   ▶   𝜃   ) ↔ ((𝜑𝜓𝜒) → 𝜃))
31, 2mpbi 219 1 ((𝜑𝜓𝜒) → 𝜃)
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1031  (   wvd1 37806  (   wvhc3 37825
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-vd1 37807  df-vhc3 37826
This theorem is referenced by:  int3  37858  el0321old  37963
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