Step
*
of Lemma
geo-congruent_wf
∀[g:GeometryPrimitives]. ∀[a,b,c,d:Point].  (ab ≅ cd ∈ ℙ)
BY
{ ((D 0 THENW Auto)
   THEN Unfold `geo-primitives` 1
   THEN (Unfold `geo-congruent` 0 THEN Unfold `geo-length-sep` 0)
   THEN Unfold `geo-gt-prim` 0
   THEN (Unfold `geo-point` 0 THEN Unfold `geo-point` 1)
   THEN DRecord 1
   THEN Auto) }
Latex:
Latex:
\mforall{}[g:GeometryPrimitives].  \mforall{}[a,b,c,d:Point].    (ab  \mcong{}  cd  \mmember{}  \mBbbP{})
By
Latex:
((D  0  THENW  Auto)
  THEN  Unfold  `geo-primitives`  1
  THEN  (Unfold  `geo-congruent`  0  THEN  Unfold  `geo-length-sep`  0)
  THEN  Unfold  `geo-gt-prim`  0
  THEN  (Unfold  `geo-point`  0  THEN  Unfold  `geo-point`  1)
  THEN  DRecord  1
  THEN  Auto)
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