Step
*
of Lemma
geo-congruent-transitivity
No Annotations
∀e:EuclideanPlane. ∀[a,b,c,d,x,y:Point].  (ab ≅ xy) supposing (cd ≅ xy and ab ≅ cd)
BY
{ ((Auto THEN InstLemma `geo-congruent-symmetry` [⌜e⌝] ⋅ THEN Auto)
   THEN D 1
   THEN (Unhide THEN Auto)
   THEN InstLemma `geo-axioms-imply` [⌜e⌝]⋅
   THEN Auto) }
Latex:
Latex:
No  Annotations
\mforall{}e:EuclideanPlane.  \mforall{}[a,b,c,d,x,y:Point].    (ab  \mcong{}  xy)  supposing  (cd  \mcong{}  xy  and  ab  \mcong{}  cd)
By
Latex:
((Auto  THEN  InstLemma  `geo-congruent-symmetry`  [\mkleeneopen{}e\mkleeneclose{}]  \mcdot{}  THEN  Auto)
  THEN  D  1
  THEN  (Unhide  THEN  Auto)
  THEN  InstLemma  `geo-axioms-imply`  [\mkleeneopen{}e\mkleeneclose{}]\mcdot{}
  THEN  Auto)
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