Step
*
of Lemma
Euclid-prop14
∀g:EuclideanPlane. ∀a,b,x,y:Point.  (a ≠ b 
⇒ x leftof ab 
⇒ y leftof ba 
⇒ Rxba 
⇒ Ryba 
⇒ Colinear(x;b;y))
BY
{ (Auto THEN InstLemma `adjacent-right-angles` [⌜g⌝;⌜x⌝;⌜b⌝;⌜a⌝;⌜y⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}g:EuclideanPlane.  \mforall{}a,b,x,y:Point.
    (a  \mneq{}  b  {}\mRightarrow{}  x  leftof  ab  {}\mRightarrow{}  y  leftof  ba  {}\mRightarrow{}  Rxba  {}\mRightarrow{}  Ryba  {}\mRightarrow{}  Colinear(x;b;y))
By
Latex:
(Auto  THEN  InstLemma  `adjacent-right-angles`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{}]\mcdot{}  THEN  Auto)
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