Sindbad~EG File Manager

LTABCD
LTCDEF
ANBECGD+EECGAB  defn:lessthan
BECGD
EECGAB
ANBEEHF+EEEHCD  defn:lessthan
BEEHF
EEEHCD
NEEH  lemma:betweennotequal
NECG   lemma:betweennotequal
ANRAEHK+EEEKCG  lemma:layoff
RAEHK
EEEKCG
EEEKAB  lemma:congruencetransitive
ORBEEKH|EQHK|BEEHK lemma:ray1
cases BEEKH:BEEKH|EQHK|BEEHK
 case 1:BEEKH
 qedcase
 case 2:EQHK
  EECGEK  lemma:congruencesymmetric
  EECGEH  cn:equalitysub
  EEEHCD
  EECGCD  lemma:congruencetransitive
  RACGD   lemma:ray4
  EQGG    cn:equalityreflexive
  RACGG   lemma:ray4
  NOBEEKH  assumption
   EQGD    lemma:layoffunique
   NEGD    lemma:betweennotequal
  BEEKH   reductio
 qedcase
 case 3:BEEHK
  EECDEH  lemma:congruencesymmetric
  NECD   lemma:betweennotequal
  NEHK   lemma:betweennotequal
  ANBECDJ+EEDJHK  lemma:extension
  BECDJ
  RACDJ   lemma:ray4
  RACDG    lemma:ray4
  EECDEH
  EEDJHK
  EECJEK  cn:sumofparts
  EECJCG  lemma:congruencetransitive
  EQJG    lemma:layoffunique
  BECDJ
  BECGD
  BEGDJ   lemma:3.6a
  NOBEEKH  assumption
   NEGJ  lemma:betweennotequal
   NEJG   lemma:inequalitysymmetric
  BEEKH  reductio
 qedcase
BEEKH cases
BEEHF
BEEKF  lemma:3.6b
LTABEF  defn:lessthan