Step
*
of Lemma
geo-tar-opp-side-invariant
∀e:BasicGeometry. ∀A,B,P,Q,C,D:Point.
  (C ≠ D 
⇒ Colinear(C;P;Q) 
⇒ Colinear(D;P;Q) 
⇒ geo-tar-opp-side(e;A;B;P;Q) 
⇒ geo-tar-opp-side(e;A;B;C;D))
BY
{ (Auto THEN ParallelLast THEN ExRepD THEN Auto THEN EasyGeometry) }
Latex:
Latex:
\mforall{}e:BasicGeometry.  \mforall{}A,B,P,Q,C,D:Point.
    (C  \mneq{}  D
    {}\mRightarrow{}  Colinear(C;P;Q)
    {}\mRightarrow{}  Colinear(D;P;Q)
    {}\mRightarrow{}  geo-tar-opp-side(e;A;B;P;Q)
    {}\mRightarrow{}  geo-tar-opp-side(e;A;B;C;D))
By
Latex:
(Auto  THEN  ParallelLast  THEN  ExRepD  THEN  Auto  THEN  EasyGeometry)
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