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Theorem vd01 43358
Description: A virtual hypothesis virtually infers a theorem. (Contributed by Alan Sare, 14-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
vd01.1 𝜑
Assertion
Ref Expression
vd01 (   𝜓   ▶   𝜑   )

Proof of Theorem vd01
StepHypRef Expression
1 vd01.1 . . 3 𝜑
21a1i 11 . 2 (𝜓𝜑)
32dfvd1ir 43334 1 (   𝜓   ▶   𝜑   )
Colors of variables: wff setvar class
Syntax hints:  (   wvd1 43330
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-vd1 43331
This theorem is referenced by:  e210  43420  e201  43422  e021  43426  e012  43428  e102  43430  e110  43437  e101  43439  e011  43441  e100  43443  e010  43445  e001  43447  e01  43452  e10  43455  sspwimpVD  43680
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