Step
*
of Lemma
not-eu-between-same
∀e:EuclideanPlane. ∀[a,b:Point].  False supposing a-b-b
BY
{ (Auto THEN InstLemma `eu-between-trans2` [⌜e⌝;⌜b⌝;⌜b⌝;⌜b⌝;⌜a⌝]⋅ THEN Auto) }
1
1. e : EuclideanPlane@i'
2. a : Point
3. b : Point
4. a-b-b
5. b-b-b
⊢ False
Latex:
Latex:
\mforall{}e:EuclideanPlane.  \mforall{}[a,b:Point].    False  supposing  a-b-b
By
Latex:
(Auto  THEN  InstLemma  `eu-between-trans2`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{}]\mcdot{}  THEN  Auto)
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