Step * 1 of Lemma eu-congruent-symmetry


1. EuclideanPlane@i'
2. [a] Point
3. [b] Point
4. [c] Point
5. [d] Point
6. [%] ab=cd
7. e ∈ EuclideanPlane
⊢ cd=ab
BY
(D THEN (Unhide THENA Auto) THEN THEN ExRepD THEN InstHyp [⌜a⌝;⌜b⌝;⌜c⌝;⌜d⌝;⌜a⌝;⌜b⌝3⋅ THEN Auto) }


Latex:


Latex:

1.  e  :  EuclideanPlane@i'
2.  [a]  :  Point
3.  [b]  :  Point
4.  [c]  :  Point
5.  [d]  :  Point
6.  [\%]  :  ab=cd
7.  e  \mmember{}  EuclideanPlane
\mvdash{}  cd=ab


By


Latex:
(D  1
  THEN  (Unhide  THENA  Auto)
  THEN  D  2
  THEN  ExRepD
  THEN  InstHyp  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{}]  3\mcdot{}
  THEN  Auto)




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