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Theorem dfvd1impr 28345
Description: Right-to-left part of definition of virtual deduction. (Contributed by Alan Sare, 21-Apr-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
dfvd1impr  |-  ( (
ph  ->  ps )  ->  (. ph  ->.  ps ). )

Proof of Theorem dfvd1impr
StepHypRef Expression
1 df-vd1 28338 . 2  |-  ( (.
ph 
->.  ps ).  <->  ( ph  ->  ps ) )
21biimpri 197 1  |-  ( (
ph  ->  ps )  ->  (. ph  ->.  ps ). )
Colors of variables: wff set class
Syntax hints:    -> wi 4   (.wvd1 28337
This theorem is referenced by:  gen11  28388
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-vd1 28338
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