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Theorem dfvd3i 28361
Description: Inference form of dfvd3 28360. (Contributed by Alan Sare, 14-Nov-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
dfvd3i.1  |-  (. ph ,. ps ,. ch  ->.  th ).
Assertion
Ref Expression
dfvd3i  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )

Proof of Theorem dfvd3i
StepHypRef Expression
1 dfvd3i.1 . 2  |-  (. ph ,. ps ,. ch  ->.  th ).
2 dfvd3 28360 . 2  |-  ( (.
ph ,. ps ,. ch  ->.  th ).  <->  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) ) )
31, 2mpbi 199 1  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4   (.wvd3 28356
This theorem is referenced by:  in3  28381  in3an  28383  gen31  28393  e333  28508  e233  28540  e323  28541
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936  df-vd3 28359
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