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Definition df-vd3 28359
Description: Definition of a 3-hypothesis virtual deduction. (Contributed by Alan Sare, 14-Nov-2011.) (New usage is discouraged.)
Assertion
Ref Expression
df-vd3  |-  ( (.
ph ,. ps ,. ch  ->.  th ).  <->  ( ( ph  /\  ps  /\  ch )  ->  th ) )

Detailed syntax breakdown of Definition df-vd3
StepHypRef Expression
1 wph . . 3  wff  ph
2 wps . . 3  wff  ps
3 wch . . 3  wff  ch
4 wth . . 3  wff  th
51, 2, 3, 4wvd3 28356 . 2  wff  (. ph ,. ps ,. ch  ->.  th ).
61, 2, 3w3a 934 . . 3  wff  ( ph  /\ 
ps  /\  ch )
76, 4wi 4 . 2  wff  ( (
ph  /\  ps  /\  ch )  ->  th )
85, 7wb 176 1  wff  ( (.
ph ,. ps ,. ch  ->.  th ).  <->  ( ( ph  /\  ps  /\  ch )  ->  th ) )
Colors of variables: wff set class
This definition is referenced by:  dfvd3  28360
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