Sindbad~EG File Manager

Current Path : /usr/home/beeson/public_html/michaelbeeson/research/papers/programs/proofs/
Upload File :
Current File : /usr/home/beeson/public_html/michaelbeeson/research/papers/programs/proofs/collinearmidpoint.prf

COABM
NEAB
EEAMMB
OREQAB|EQAM|EQBM|BEBAM|BEABM|BEAMB  defn:collinear
EQAM assumption
 EQMA   lemma:equalitysymmetric
 EEAAAB  cn:equalitysub
 EEABAA  lemma:congruencesymmetric
 NEAA    axiom:nocollapse
 EQAA    cn:equalityreflexive
NEAM reductio
EQBM assumption
 EQMB  lemma:equalitysymmetric
 EEABBB  cn:equalitysub
 NEBB  axiom:nocollapse
 EQBB  cn:equalityreflexive
NEBM reductio
BEBAM assumption
 BEMAB axiom:betweennesssymmetry
 EEMAMB lemma:congruenceflip
 NOEEMAMB lemma:partnotequalwhole
NOBEBAM reductio
BEABM assumption
 BEMBA axiom:betweennesssymmetry
 EEMAMB lemma:congruenceflip
 EEMBMA lemma:congruencesymmetric
 NOEEMBMA lemma:partnotequalwhole
NOBEABM reductio
cases BEAMB:EQAB|EQAM|EQBM|BEBAM|BEABM|BEAMB
 case 1:EQAB
  NOBEAMB assumption
   NEAB
  BEAMB reductio
 qedcase
 case 2:EQAM
  NOBEAMB assumption
   NEAM
  BEAMB reductio
 qedcase
 case 3:EQBM
  NOBEAMB assumption
   NEBM
  BEAMB reductio
 qedcase
 case 4:BEBAM
  NOBEAMB assumption
   NOBEBAM
  BEAMB reductio 
 qedcase
 case 5:BEABM
  NOBEAMB assumption
   NOBEABM
  BEAMB reductio
 qedcase
 case 6:BEAMB
 qedcase
BEAMB cases
MIAMB  defn:midpoint
ANBEAMB+MIAMB

Sindbad File Manager Version 1.0, Coded By Sindbad EG ~ The Terrorists