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Step * of Lemma Mid_cases

∀e:BasicGeometry. ∀A,B,C:Point.  ((B=A=C ∨ C=A=B) ⇒ B=A=C)
BY
{ (((Auto THEN InstLemma `geo-midpoint-symmetry` [⌜e⌝;⌜A⌝;⌜C⌝;⌜B⌝]⋅) THENA Auto) THEN Auto) }

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Latex:

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Latex:
\mforall{}e:BasicGeometry.  \mforall{}A,B,C:Point.    ((B=A=C  \mvee{}  C=A=B)  {}\mRightarrow{}  B=A=C)


By

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Latex:
(((Auto  THEN  InstLemma  `geo-midpoint-symmetry`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}C\mkleeneclose{};\mkleeneopen{}B\mkleeneclose{}]\mcdot{})  THENA  Auto)  THEN  Auto)

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