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Theorem dfvd2ani 40908
Description: Inference form of dfvd2an 40907. (Contributed by Alan Sare, 23-Apr-2015.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
dfvd2ani.1 (   (   𝜑   ,   𝜓   )   ▶   𝜒   )
Assertion
Ref Expression
dfvd2ani ((𝜑𝜓) → 𝜒)

Proof of Theorem dfvd2ani
StepHypRef Expression
1 dfvd2ani.1 . 2 (   (   𝜑   ,   𝜓   )   ▶   𝜒   )
2 dfvd2an 40907 . 2 ((   (   𝜑   ,   𝜓   )   ▶   𝜒   ) ↔ ((𝜑𝜓) → 𝜒))
31, 2mpbi 232 1 ((𝜑𝜓) → 𝜒)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 398  (   wvd1 40894  (   wvhc2 40905
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 209  df-vd1 40895  df-vhc2 40906
This theorem is referenced by:  int2  40931  el021old  41026  el2122old  41044  un0.1  41104  un10  41113  un01  41114
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