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Theorem 3anrev 1102
Description: Reversal law for triple conjunction. (Contributed by NM, 21-Apr-1994.)
Assertion
Ref Expression
3anrev ((𝜑𝜓𝜒) ↔ (𝜒𝜓𝜑))

Proof of Theorem 3anrev
StepHypRef Expression
1 3ancoma 1099 . 2 ((𝜑𝜓𝜒) ↔ (𝜓𝜑𝜒))
2 3anrot 1101 . 2 ((𝜒𝜓𝜑) ↔ (𝜓𝜑𝜒))
31, 2bitr4i 278 1 ((𝜑𝜓𝜒) ↔ (𝜒𝜓𝜑))
Colors of variables: wff setvar class
Syntax hints:  wb 205  w3a 1088
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 206  df-an 398  df-3an 1090
This theorem is referenced by:  an33rean  1484  an33reanOLD  1485  nnmcan  8585  odupos  18225  wwlks2onsym  28952  frgr3v  29268  bnj345  33390  bnj1098  33459  pocnv  34399  btwnswapid2  34656  colinbtwnle  34756  uunT11p2  43172  uunT12p5  43178  uun2221p2  43189
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