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Step * 1 1 of Lemma geo-zero-le


1. e : BasicGeometry
2. v : {p:Point| O_X_p} 
3. X ∈ Length
⊢ ∃p',q':{p:Point| O_X_p} . ((p' = 0 ∈ Length) ∧ (q' = v ∈ Length) ∧ X_p'_q')
BY
{ (Unfold `geo-zero-length` 0 THEN (InstConcl [⌜X⌝;⌜v⌝]⋅ THENA ((MemCD THEN Auto) ORELSE Auto))) }

1
1. e : BasicGeometry
2. v : {p:Point| O_X_p} 
3. X ∈ Length
⊢ (X = X ∈ Length) ∧ (v = v ∈ Length) ∧ X_X_v

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Latex:

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Latex:

1.  e  :  BasicGeometry
2.  v  :  \{p:Point|  O\_X\_p\} 
3.  X  \mmember{}  Length
\mvdash{}  \mexists{}p',q':\{p:Point|  O\_X\_p\}  .  ((p'  =  0)  \mwedge{}  (q'  =  v)  \mwedge{}  X\_p'\_q')


By

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Latex:
(Unfold  `geo-zero-length`  0  THEN  (InstConcl  [\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}v\mkleeneclose{}]\mcdot{}  THENA  ((MemCD  THEN  Auto)  ORELSE  Auto)))

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