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Step * of Lemma geo-colinear-equidistant

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∀e:BasicGeometry. ∀[a,b,c,p,q:Point].  (cp ≅ cq) supposing (ap ≅ aq and bp ≅ bq and Colinear(a;b;c) and a # b)
BY
{ (Auto THEN InstLemma `geo-colinear-five-segment` [⌜e⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜p⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜q⌝]⋅ THEN Auto) }

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Latex:

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Latex:
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\mforall{}e:BasicGeometry
    \mforall{}[a,b,c,p,q:Point].    (cp  \mcong{}  cq)  supposing  (ap  \mcong{}  aq  and  bp  \mcong{}  bq  and  Colinear(a;b;c)  and  a  \#  b)


By

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Latex:
(Auto  THEN  InstLemma  `geo-colinear-five-segment`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}q\mkleeneclose{}]\mcdot{}  THEN  Auto)

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