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Step * of Lemma geo-bet-or

∀g:EuclideanPlane. ∀a,b,c,d:Point.  (((a_b_c ∧ a_b_d) ∧ a ≠ b) ⇒ (¬¬(b_c_d ∨ b_d_c)))
BY
{ ((UnivCD THENA Auto) THEN InstLemma `geo-between-same-side` [⌜g⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜d⌝]⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}g:EuclideanPlane.  \mforall{}a,b,c,d:Point.    (((a\_b\_c  \mwedge{}  a\_b\_d)  \mwedge{}  a  \mneq{}  b)  {}\mRightarrow{}  (\mneg{}\mneg{}(b\_c\_d  \mvee{}  b\_d\_c)))


By

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Latex:
((UnivCD  THENA  Auto)  THEN  InstLemma  `geo-between-same-side`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{}]\mcdot{}  THEN  Auto)

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