Step * of Lemma geo-sep-irrefl_gt-prim

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e:EuclideanPlane. ∀a,b,c:Point.  aa>bc)
BY
(Auto THEN gSeparatedCases ⌜b⌝⌜c⌝⋅ THEN Auto) }

1
1. EuclideanPlane
2. Point
3. Point
4. Point
5. c
⊢ ¬aa>bc

2
1. EuclideanPlane
2. Point
3. Point
4. Point
5. b ≡ c
⊢ ¬aa>cc


Latex:


Latex:
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\mforall{}e:EuclideanPlane.  \mforall{}a,b,c:Point.    (\mneg{}aa>bc)


By


Latex:
(Auto  THEN  gSeparatedCases  \mkleeneopen{}b\mkleeneclose{}\mkleeneopen{}c\mkleeneclose{}\mcdot{}  THEN  Auto)




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