Step * of Lemma geo-sep-or

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e:EuclideanPlaneStructure. ∀a:Point. ∀b:{b:Point| b} . ∀c:Point.  (a c ∨ c)
BY
(Auto THEN UseWitness ⌜M(a;b;c)⌝⋅ THEN Auto) }


Latex:


Latex:
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\mforall{}e:EuclideanPlaneStructure.  \mforall{}a:Point.  \mforall{}b:\{b:Point|  a  \#  b\}  .  \mforall{}c:Point.    (a  \#  c  \mvee{}  b  \#  c)


By


Latex:
(Auto  THEN  UseWitness  \mkleeneopen{}M(a;b;c)\mkleeneclose{}\mcdot{}  THEN  Auto)




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