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Theorem 3anrev 947
Description: Reversal law for triple conjunction. (Contributed by NM, 21-Apr-1994.)
Assertion
Ref Expression
3anrev  |-  ( (
ph  /\  ps  /\  ch ) 
<->  ( ch  /\  ps  /\ 
ph ) )

Proof of Theorem 3anrev
StepHypRef Expression
1 3ancoma 943 . 2  |-  ( (
ph  /\  ps  /\  ch ) 
<->  ( ps  /\  ph  /\ 
ch ) )
2 3anrot 941 . 2  |-  ( ( ch  /\  ps  /\  ph )  <->  ( ps  /\  ph 
/\  ch ) )
31, 2bitr4i 244 1  |-  ( (
ph  /\  ps  /\  ch ) 
<->  ( ch  /\  ps  /\ 
ph ) )
Colors of variables: wff set class
Syntax hints:    <-> wb 177    /\ w3a 936
This theorem is referenced by:  3com13  1158  nnmcan  6844  odupos  14525  btwnswapid2  25864  colinbtwnle  25964  frgra3v  28114  uunT11p2  28628  uunT12p5  28634  uun2221p2  28645  bnj345  28796  bnj1098  28872
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 178  df-an 361  df-3an 938
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