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SQABCD
ANEEABCD+EEABBC+EEABDA+RRDAB+RRABC+RRBCD+RRCDA  defn:square
EEABDA
RRDAB
RRCDA
NCDAB  lemma:rightangleNC
NEDA   lemma:NCdistinct
ANBEDAR+EEARDA  lemma:extension
BEDAR
BERAD  axiom:betweennesssymmetry
NEAB  lemma:NCdistinct
CODAR  defn:collinear
EQAA  cn:equalityreflexive
CODAA  defn:collinear
NERA  lemma:betweennotequal
NCRAB  lemma:NChelper
NCABR lemma:NCorder
ANSQABcE+OSEABR+PGABcE  proposition:46
SQABcE
OSEABR
PGABcE
ANEEABcE+EEABBc+EEABEA+RREAB+RRABc+RRBcE+RRcEA  defn:square
RREAB
RRcEA
RRDAB  
CORAD  defn:collinear
CODAR  lemma:collinearorder
RRRAB  lemma:collinearright
RRBAR  lemma:8.2
OSEBAR  lemma:oppositesideflip
BEEAR  lemma:righttogether
BERAE  axiom:betweennesssymmetry
RAADE  defn:ray
EEABEA  defn:square
EEEAAB  lemma:congruencesymmetric
EEEADA  lemma:congruencetransitive
EEAEAD  lemma:congruenceflip
NEAD  lemma:betweennotequal
EQDD  cn:equalityreflexive
RAADD  lemma:ray4
EQED   lemma:layoffunique
PGABcD  cn:equalitysub
EEABCD defn:square
SQABcD  cn:equalitysub
EEABcD  defn:square
EEcDAB  lemma:congruencesymmetric
EEcDCD  lemma:congruencetransitive
EEABBC  defn:square
EEABBc  defn:square
EEBcAB  lemma:congruencesymmetric
EEBcBC  lemma:congruencetransitive
EEcBCB  lemma:congruenceflip
RRBCD   defn:square
RRBcD   defn:square
EABcDBCD  lemma:Euclid4
ANEEBDBD+EAcBDCBD+EAcDBCDB  proposition:04
EAcDBCDB 
ANMIAmc+MIBmD  lemma:diagonalsbisect
MIAmc
MIBmD
ANBEAmc+EEAmmc defn:midpoint
ANBEBmD+EEBmmD  defn:midpoint
BEAmc
BEBmD
EEcDCD
EACDBcDB  lemma:equalanglessymmetric
EEDmDm  cn:congruencereflexive
EEDcDC lemma:congruenceflip
NCCDA  lemma:rightangleNC
RRcDA   cn:equalitysub
NCcDA   lemma:rightangleNC
NCAcD  lemma:NCorder
EQcc   cn:equalityreflexive
COAcc   defn:collinear
COAmc  defn:collinear
COAcm   lemma:collinearorder
NEmc   lemma:betweennotequal
NCmcD  lemma:NChelper
NCcDm  lemma:NCorder
COCDm  assumption
 COBmD  defn:collinear
 COmDB  lemma:collinearorder
 COmDC  lemma:collinearorder
 NEmD  lemma:betweennotequal
 CODBC lemma:collinear4
 COBCD lemma:collinearorder
 NCBCD  lemma:rightangleNC
NCCDm  reductio
EEDcDC
EAcDBCDB lemma:equalanglessymmetric
BEDmB   axiom:betweennesssymmetry
NEDB  lemma:betweennotequal
RADBm  lemma:ray4
EQCC   cn:equalityreflexive
NEDC lemma:NCdistinct
RADCC  lemma:ray4
EAcDBCDm lemma:equalangleshelper
EACDmcDB lemma:equalanglessymmetric
EQcc  cn:equalityreflexive
NEDc  lemma:NCdistinct
RADcc   lemma:ray4
EACDmcDm  lemma:equalangleshelper
EAcDmCDm  lemma:equalanglessymmetric
EEcmCm  proposition:04
EEmcmC  lemma:congruenceflip
EEAmAm  cn:congruencereflexive
EEDADA  cn:congruencereflexive
RRcDA   cn:equalitysub
RRADc  lemma:8.2
RRADC  lemma:8.2
EAADCADc  lemma:Euclid4
EEDCDc lemma:congruencesymmetric
EEACAc   proposition:04
EEAcAC  lemma:congruencesymmetric
BEAmc
BEAmC   lemma:betweennesspreserved
NEAm  lemma:betweennotequal
RAAmc   lemma:ray4
RAAmC   lemma:ray4
EQcC  lemma:layoffunique
PGABCD  cn:equalitysub