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Step * 1 2 of Lemma geo-le_witness

.....wf..... 
1. e : BasicGeometry
2. {p:Point| O_X_p}  ⊆r Length
3. p : {p:Point| O_X_p} 
4. q : {p:Point| O_X_p} 
5. X_p_q
6. p' : {p:Point| O_X_p} 
⊢ istype(∃q':{p:Point| O_X_p} . ((p' = p ∈ Length) ∧ (q' = q ∈ Length) ∧ X_p'_q'))
BY
{ Auto }

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Latex:

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Latex:
.....wf..... 
1.  e  :  BasicGeometry
2.  \{p:Point|  O\_X\_p\}    \msubseteq{}r  Length
3.  p  :  \{p:Point|  O\_X\_p\} 
4.  q  :  \{p:Point|  O\_X\_p\} 
5.  X\_p\_q
6.  p'  :  \{p:Point|  O\_X\_p\} 
\mvdash{}  istype(\mexists{}q':\{p:Point|  O\_X\_p\}  .  ((p'  =  p)  \mwedge{}  (q'  =  q)  \mwedge{}  X\_p'\_q'))


By

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Latex:
Auto

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