Step * of Lemma sq_stable__geo-left-axioms-1

g:EuclideanPlaneStructure
  (BasicGeometryAxioms(g)  (∀a,b,c:Point.  (a bc  Colinear(a;b;c))))  SqStable(geo-left-axioms(g)))
BY
(InstLemma `sq_stable__geo-left-1` [] THEN RepeatFor ((ParallelLast' THENA Auto))) }

1
1. EuclideanPlaneStructure
2. BasicGeometryAxioms(g)
3. ∀a,b,c:Point.  (a bc  Colinear(a;b;c)))
4. ∀a,b,c:Point.  SqStable(a leftof bc)
⊢ SqStable(geo-left-axioms(g))


Latex:


Latex:
\mforall{}g:EuclideanPlaneStructure
    (BasicGeometryAxioms(g)
    {}\mRightarrow{}  (\mforall{}a,b,c:Point.    (a  \#  bc  {}\mRightarrow{}  (\mneg{}Colinear(a;b;c))))
    {}\mRightarrow{}  SqStable(geo-left-axioms(g)))


By


Latex:
(InstLemma  `sq\_stable\_\_geo-left-1`  []  THEN  RepeatFor  3  ((ParallelLast'  THENA  Auto)))




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