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Theorem 3anrev 1047
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 1043 . 2 ((𝜑𝜓𝜒) ↔ (𝜓𝜑𝜒))
2 3anrot 1041 . 2 ((𝜒𝜓𝜑) ↔ (𝜓𝜑𝜒))
31, 2bitr4i 267 1 ((𝜑𝜓𝜒) ↔ (𝜒𝜓𝜑))
Colors of variables: wff setvar class
Syntax hints:  wb 196  w3a 1036
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 1038
This theorem is referenced by:  3com13  1267  an33rean  1443  nnmcan  7659  odupos  17056  frgr3v  27003  bnj345  30484  bnj1098  30559  pocnv  31359  btwnswapid2  31764  colinbtwnle  31864  uunT11p2  38504  uunT12p5  38510  uun2221p2  38521
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