Step * of Lemma geo-seg-congruent-iff-length

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e:BasicGeometry. ∀[s,t:geo-segment(e)].  uiff(geo-seg-congruent(e; s; t);|s| ≡ |t|)
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1
1. BasicGeometry
2. geo-segment(e)
3. geo-segment(e)
4. geo-seg-congruent(e; s; t)
⊢ |s| ≡ |t|

2
1. BasicGeometry
2. geo-segment(e)
3. geo-segment(e)
4. |s| ≡ |t|
⊢ geo-seg-congruent(e; s; t)


Latex:


Latex:
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\mforall{}e:BasicGeometry.  \mforall{}[s,t:geo-segment(e)].    uiff(geo-seg-congruent(e;  s;  t);|s|  \mequiv{}  |t|)


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Latex:
(Auto  THEN  Try  ((EqTypeCD  THEN  Auto)))




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