Step
*
of Lemma
geo-between-middle2
∀e:BasicGeometry. ∀a,b,c,d:Point.  (a ≠ d 
⇒ a_b_d 
⇒ a_c_d 
⇒ (¬¬(b_c_d ∨ c_b_d)))
BY
{ (Auto THEN InstLemma `geo-between-middle` [⌜e⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜d⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}e:BasicGeometry.  \mforall{}a,b,c,d:Point.    (a  \mneq{}  d  {}\mRightarrow{}  a\_b\_d  {}\mRightarrow{}  a\_c\_d  {}\mRightarrow{}  (\mneg{}\mneg{}(b\_c\_d  \mvee{}  c\_b\_d)))
By
Latex:
(Auto  THEN  InstLemma  `geo-between-middle`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{}]\mcdot{}  THEN  Auto)
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