Step * of Lemma Euclid-prop14

g:EuclideanPlane. ∀a,b,x,y:Point.  (a ≠  leftof ab  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)




Home Index