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Step * 1 2 1 1 1 of Lemma geo-perp-in-iff

.....assertion..... 
1. e : BasicGeometry
2. c : Point
3. d : Point
4. x : Point
5. c ≠ d
⊢ c ≠ x ∨ x ≠ d
BY
{ ((InstLemma `geo-sep-or` [⌜e⌝;⌜c⌝;⌜d⌝;⌜x⌝]⋅ THENM ParallelLast) THEN Auto) }

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Latex:

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Latex:
.....assertion..... 
1.  e  :  BasicGeometry
2.  c  :  Point
3.  d  :  Point
4.  x  :  Point
5.  c  \mneq{}  d
\mvdash{}  c  \mneq{}  x  \mvee{}  x  \mneq{}  d


By

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Latex:
((InstLemma  `geo-sep-or`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}  THENM  ParallelLast)  THEN  Auto)

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