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Step * of Lemma geo-add-length-property1

∀g:EuclideanPlane. ∀s1,s2:geo-segment(g).  B(X|s1||s1| + |s2|)
BY
{ (Auto
   THEN ((GenConcl ⌜|s1| = p ∈ {p:Point| B(OXp)} ⌝⋅ THENA Auto)
         THEN (GenConcl ⌜|s2| = q ∈ {p:Point| B(OXp)} ⌝⋅ THENA Auto)
         )
   THEN All Thin) }

1
1. g : EuclideanPlane
2. p : {p:Point| B(OXp)} 
3. q : {p:Point| B(OXp)} 
⊢ B(Xpp + q)

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Latex:

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Latex:
\mforall{}g:EuclideanPlane.  \mforall{}s1,s2:geo-segment(g).    B(X|s1||s1|  +  |s2|)


By

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Latex:
(Auto  THEN  ((GenConcl  \mkleeneopen{}|s1|  =  p\mkleeneclose{}\mcdot{}  THENA  Auto)  THEN  (GenConcl  \mkleeneopen{}|s2|  =  q\mkleeneclose{}\mcdot{}  THENA  Auto))  THEN  All  Thin)

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