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MIABC
MIADC
ANBEABC+EEABBC  defn:midpoint
ANBEADC+EEADDC  defn:midpoint
BEABC
BEADC
EEABBC
EEADDC
EEABAB   cn:congruencereflexive
BECDB   assumption 
 BEBDC   axiom:betweennesssymmetry
 BEABD    axiom:innertransitivity
 LTABAD   defn:lessthan
 EEADCD   lemma:congruenceflip
 LTABCD   lemma:lessthancongruence
 BECDB    axiom:betweennesssymmetry
 EECDCD   cn:congruencereflexive
 LTCDCB   defn:lessthan
 LTABCB   lemma:lessthantransitive
 EECBBC   cn:equalityreverse
 LTABBC   lemma:lessthancongruence
 EEBCAB   lemma:congruencesymmetric
 LTABAB   lemma:lessthancongruence
 ANBEAEB+EEAEAB   defn:lessthan
 BEAEB
 EEAEAB    
 NOEEAEAB  lemma:partnotequalwhole
NOBECDB    reductio

BECBD   assumption 
 BEDBC    axiom:betweennesssymmetry
 BEADB    axiom:innertransitivity
 EEADAD   cn:congruencereflexive
 LTADAB   defn:lessthan
 EEABBC   
 EEABCB   lemma:congruenceflip
 LTADCB   lemma:lessthancongruence
 BECBD    axiom:betweennesssymmetry
 EECBCB   cn:congruencereflexive
 LTCBCD   defn:lessthan
 LTADCD   lemma:lessthantransitive
 EEDCAD   lemma:congruencesymmetric
 EECDAD   lemma:congruenceflip
 LTADCD
 LTADAD   lemma:lessthancongruence
 ANBEAFD+EEAFAD   defn:lessthan
 BEAFD    
 EEAFAD    
 NOEEAFAD  lemma:partnotequalwhole
NOBECBD    reductio
BECDA  axiom:betweennesssymmetry
BECBA  axiom:betweennesssymmetry
EQBD      axiom:connectivity
 
 
 

  

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