Step
*
of Lemma
geo-le-pt-right-comm
∀e:BasicGeometry. ∀a,b,c,d:Point.  (a ≠ b 
⇒ ab≤cd 
⇒ ab≤dc)
BY
{ (((Auto THEN Assert ⌜cd≤dc⌝⋅ THEN Auto) THEN InstLemma `geo-le-pt-transitivity` [⌜e⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜d⌝;⌜d⌝;⌜c⌝]⋅)
   THEN Auto
   ) }
Latex:
Latex:
\mforall{}e:BasicGeometry.  \mforall{}a,b,c,d:Point.    (a  \mneq{}  b  {}\mRightarrow{}  ab\mleq{}cd  {}\mRightarrow{}  ab\mleq{}dc)
By
Latex:
(((Auto  THEN  Assert  \mkleeneopen{}cd\mleq{}dc\mkleeneclose{}\mcdot{}  THEN  Auto)
    THEN  InstLemma  `geo-le-pt-transitivity`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{}]\mcdot{}
    )
  THEN  Auto
  )
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