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Step * 1 1 1 of Lemma geo-sep-iff-or-lt


1. e : BasicGeometry
2. x : {p:Point| O_X_p} 
3. y : {p:Point| O_X_p} 
4. x ≠ y
5. O_x_y
6. X_x_y
⊢ x < y
BY
{ (FLemma `geo-add-length-between` [-1] THEN Auto) }

1
1. e : BasicGeometry
2. x : {p:Point| O_X_p} 
3. y : {p:Point| O_X_p} 
4. x ≠ y
5. O_x_y
6. X_x_y
7. |Xy| = |Xx| + |xy| ∈ Length
⊢ x < y

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Latex:

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Latex:

1.  e  :  BasicGeometry
2.  x  :  \{p:Point|  O\_X\_p\} 
3.  y  :  \{p:Point|  O\_X\_p\} 
4.  x  \mneq{}  y
5.  O\_x\_y
6.  X\_x\_y
\mvdash{}  x  <  y


By

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Latex:
(FLemma  `geo-add-length-between`  [-1]  THEN  Auto)

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