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PGACDB
ANPRACDB+PRABCD  defn:parallelogram
PRACDB
PRABCD
PRACBD  lemma:parallelflip
ANBEAMD+BECMB  lemma:diagonalsmeet
BEAMD
BECMB
BEBMC  axiom:betweennesssymmetry
COBMC  defn:collinear
COBCM  lemma:collinearorder
NOMEABCD  defn:parallel
NEAB  defn:parallel
NECD  defn:parallel
COBCA assumption
 COABC lemma:collinearorder
 EQCC  cn:equalityreflexive
 COCDC  defn:collinear
 ANNEAB+NECD+COABC+COCDC
 MEABCD  defn:meet
NCBCA reductio
ANBEAMD+COBCM+NCBCA 
OSABCD  defn:oppositeside
EAABCBCD  proposition:29B
COBCD assumption
 COCDB  lemma:collinearorder
 EQBB  cn:equalityreflexive
 COABB  defn:collinear
 ANNEAB+NECD+COABB+COCDB
 MEABCD defn:meet
 NOMEABCD defn:parallel
NCBCD reductio
EABCDDCB  lemma:ABCequalsCBA
EAABCDCB  lemma:equalanglestransitive
PRACBD
BEAMD
COCBM  lemma:collinearorder
NCCBA  lemma:NCorder
OSACBD  defn:oppositeside
EAACBCBD   proposition:29B
NCABC  lemma:NCorder
EABCAACB  lemma:ABCequalsCBA
EABCACBD  lemma:equalanglestransitive
EAABCDCB
TRABC  defn:triangle
NCDCB  lemma:equalanglesNC
TRDCB  defn:triangle
EEBCCB  cn:equalityreverse
ANEEABDC+EEACDB+EABACCDB proposition:26A
EEABDC
EEABCD  lemma:congruenceflip
EEACDB
EEACBD  lemma:congruenceflip
EECABD lemma:congruenceflip
EABACCDB
EECBBC  cn:equalityreverse
ANEECABD+EEABDC+EECBBC 
NCCAB lemma:NCorder
TRCAB  defn:triangle
TCCABBDC  defn:trianglecongruence
EACABBDC lemma:equalanglesflip
EEADDA  cn:equalityreverse
EQAA  cn:equalityreflexive
EQDD cn:equalityreflexive
NEAC  lemma:angledistinct
NECA  lemma:inequalitysymmetric
NECD  lemma:angledistinct
NEBA  lemma:angledistinct
NEDB  lemma:angledistinct
NEBD  lemma:inequalitysymmetric
RACAA lemma:ray4
RACDD  lemma:ray4
RABAA  lemma:ray4
RABDD lemma:ray4
EEBACD lemma:congruenceflip
EECABD  lemma:congruenceflip
EEBDCA  lemma:congruencesymmetric
COABD assumption
 EQDD  cn:equalityreflexive
 COCDD defn:collinear
 ANNEAB+NECD+COABD+COCDD
 MEABCD  defn:meet
NCABD reductio
EAABDDCA  defn:equalangles
ANEEABCD+EEACBD+EACABBDC+EAABDDCA+TCCABBDC

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