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Theorem dfvd2ani 36384
Description: Inference form of dfvd2an 36383. (Contributed by Alan Sare, 23-Apr-2015.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
dfvd2ani.1  |-  (. (. ph ,. ps ).  ->.  ch ).
Assertion
Ref Expression
dfvd2ani  |-  ( (
ph  /\  ps )  ->  ch )

Proof of Theorem dfvd2ani
StepHypRef Expression
1 dfvd2ani.1 . 2  |-  (. (. ph ,. ps ).  ->.  ch ).
2 dfvd2an 36383 . 2  |-  ( (.
(. ph ,. ps ).  ->.  ch
). 
<->  ( ( ph  /\  ps )  ->  ch )
)
31, 2mpbi 208 1  |-  ( (
ph  /\  ps )  ->  ch )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 367   (.wvd1 36370   (.wvhc2 36381
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 185  df-vd1 36371  df-vhc2 36382
This theorem is referenced by:  int2  36416  el021old  36511  el2122old  36538  un0.1  36600  un10  36609  un01  36610
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