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Step * of Lemma geo-cong-angle-symm

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∀e:BasicGeometry. ∀a,b,c:Point.  ((a # b ∧ c # b) ⇒ abc ≅a cba)
BY
{ (((Auto THEN Unfold `geo-cong-angle` 0) THEN Auto)
   THEN (gProlong ⌜b⌝ ⌜a⌝ `x' ⌜b⌝ ⌜c⌝⋅ THENA EAuto 1)
   THEN (gProlong ⌜b⌝ ⌜c⌝ `y' ⌜b⌝ ⌜a⌝⋅ THENA EAuto 1)
   THEN InstConcl [⌜x⌝;⌜y⌝;⌜y⌝;⌜x⌝]⋅
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}e:BasicGeometry.  \mforall{}a,b,c:Point.    ((a  \#  b  \mwedge{}  c  \#  b)  {}\mRightarrow{}  abc  \mcong{}\msuba{}  cba)


By

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Latex:
(((Auto  THEN  Unfold  `geo-cong-angle`  0)  THEN  Auto)
  THEN  (gProlong  \mkleeneopen{}b\mkleeneclose{}  \mkleeneopen{}a\mkleeneclose{}  `x'  \mkleeneopen{}b\mkleeneclose{}  \mkleeneopen{}c\mkleeneclose{}\mcdot{}  THENA  EAuto  1)
  THEN  (gProlong  \mkleeneopen{}b\mkleeneclose{}  \mkleeneopen{}c\mkleeneclose{}  `y'  \mkleeneopen{}b\mkleeneclose{}  \mkleeneopen{}a\mkleeneclose{}\mcdot{}  THENA  EAuto  1)
  THEN  InstConcl  [\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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