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Step * 1 of Lemma outer-Pasch


1. e : EuclideanPlane
2. a : Point
3. b : Point
4. c : {c:Point| B(abc)} 
5. x : Point
6. y : {y:Point| b-x-y} 
7. x leftof ab
⊢ ∃p:Point [(B(axp) ∧ B(cpy))]
BY
{ (InstLemma `plane-sep-imp-Opasch_left` [⌜e⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜x⌝;⌜y⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  e  :  EuclideanPlane
2.  a  :  Point
3.  b  :  Point
4.  c  :  \{c:Point|  B(abc)\} 
5.  x  :  Point
6.  y  :  \{y:Point|  b-x-y\} 
7.  x  leftof  ab
\mvdash{}  \mexists{}p:Point  [(B(axp)  \mwedge{}  B(cpy))]


By

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Latex:
(InstLemma  `plane-sep-imp-Opasch\_left`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{}]\mcdot{}  THEN  Auto)

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