Theorem 3anrev 1049

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

Step	Hyp	Ref	Expression
1		3ancoma 1045	. 2 |- ( ( ph /\ ps /\ ch ) <-> ( ps /\ ph /\ ch ) )
2		3anrot 1043	. 2 |- ( ( ch /\ ps /\ ph ) <-> ( ps /\ ph /\ ch ) )
3	1, 2	bitr4i 267	1 |- ( ( ph /\ ps /\ ch ) <-> ( ch /\ ps /\ ph ) )

Syntax hints:   <-> wb 196   /\ w3a 1037

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 197  df-an 386  df-3an 1039

This theorem is referenced by:  3com13  1270  an33rean  1446  nnmcan  7714  odupos  17135  wwlks2onsym  26851  frgr3v  27139  bnj345  30780  bnj1098  30854  pocnv  31653  btwnswapid2  32125  colinbtwnle  32225  uunT11p2  39025  uunT12p5  39031  uun2221p2  39042