Step * of Lemma geo-seg-congruent-equiv

e:BasicGeometry. EquivRel(geo-segment(e);s,t.geo-seg-congruent(e; s; t))
BY
(Auto THEN RepeatFor ((D THEN Auto)) THEN EAuto 1) }

1
1. BasicGeometry
2. geo-segment(e)
⊢ geo-seg-congruent(e; a; a)

2
1. BasicGeometry
2. Sym(geo-segment(e);s,t.geo-seg-congruent(e; s; t))
3. geo-segment(e)
4. geo-segment(e)
5. geo-segment(e)
6. geo-seg-congruent(e; a; b)
7. geo-seg-congruent(e; b; c)
⊢ geo-seg-congruent(e; a; c)


Latex:


Latex:
\mforall{}e:BasicGeometry.  EquivRel(geo-segment(e);s,t.geo-seg-congruent(e;  s;  t))


By


Latex:
(Auto  THEN  RepeatFor  2  ((D  0  THEN  Auto))  THEN  EAuto  1)




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