Step
*
of Lemma
geo-gt-not-congruent
∀g:EuclideanPlane. ∀a,b,c,d:Point.  (ab > cd 
⇒ (¬ab ≅ cd))
BY
{ ((((Auto THEN (D 0 THENA Auto)) THEN Unfold `geo-gt` -2) THEN D -2 THEN ExRepD)
   THEN InstLemma `geo-between-congruent` [⌜g⌝;⌜a⌝;⌜w⌝;⌜b⌝]⋅
   THEN Auto) }
Latex:
Latex:
\mforall{}g:EuclideanPlane.  \mforall{}a,b,c,d:Point.    (ab  >  cd  {}\mRightarrow{}  (\mneg{}ab  \mcong{}  cd))
By
Latex:
((((Auto  THEN  (D  0  THENA  Auto))  THEN  Unfold  `geo-gt`  -2)  THEN  D  -2  THEN  ExRepD)
  THEN  InstLemma  `geo-between-congruent`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}w\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{}]\mcdot{}
  THEN  Auto)
Home
Index