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Step * 1 of Lemma Dcong-iff-cong


1. g : EuclideanPlane
2. a : Point
3. b : Point
4. c : Point
5. d : Point
6. Dcong(g;a;b;c;d)
⊢ ab ≅ cd
BY
{ (InstLemma  `not-dist-cong` [⌜g⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜d⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  g  :  EuclideanPlane
2.  a  :  Point
3.  b  :  Point
4.  c  :  Point
5.  d  :  Point
6.  Dcong(g;a;b;c;d)
\mvdash{}  ab  \mcong{}  cd


By

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Latex:
(InstLemma    `not-dist-cong`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{}]\mcdot{}  THEN  Auto)

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