Step
*
of Lemma
geo-out-if-between
∀e:BasicGeometry. ∀p,a,b,c:Point.  (a-p-c 
⇒ b-p-c 
⇒ out(p ab))
BY
{ ((Auto THEN All (Unfolds ``geo-out``) THEN Auto)
   THEN InstLemma `geo-between-same-side2` [⌜e⌝;⌜c⌝;⌜p⌝;⌜a⌝;⌜b⌝]⋅
   THEN Auto) }
Latex:
Latex:
\mforall{}e:BasicGeometry.  \mforall{}p,a,b,c:Point.    (a-p-c  {}\mRightarrow{}  b-p-c  {}\mRightarrow{}  out(p  ab))
By
Latex:
((Auto  THEN  All  (Unfolds  ``geo-out``)  THEN  Auto)
  THEN  InstLemma  `geo-between-same-side2`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{}]\mcdot{}
  THEN  Auto)
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