Step
*
of Lemma
symmetric-point-construction1
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∀e:BasicGeometry. ∀a:Point. ∀p:{p:Point| a # p} .  (∃p':Point [p=a=p'])
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{ Auto }
1
1. e : BasicGeometry
2. a : Point
3. p : {p:Point| a # p} 
⊢ ∃p':Point [p=a=p']
Latex:
Latex:
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\mforall{}e:BasicGeometry.  \mforall{}a:Point.  \mforall{}p:\{p:Point|  a  \#  p\}  .    (\mexists{}p':Point  [p=a=p'])
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Latex:
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