Step
*
of Lemma
geo-cong-angle_weakening
∀e:BasicGeometry. ∀a,b,c:Point.  ((a ≠ b ∧ a ≡ c) 
⇒ abc ≅a abc)
BY
{ (Auto THEN (Unfold `geo-cong-angle` 0 THEN Auto) THEN InstConcl [⌜a⌝;⌜c⌝;⌜a⌝;⌜c⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}e:BasicGeometry.  \mforall{}a,b,c:Point.    ((a  \mneq{}  b  \mwedge{}  a  \mequiv{}  c)  {}\mRightarrow{}  abc  \mcong{}\msuba{}  abc)
By
Latex:
(Auto  THEN  (Unfold  `geo-cong-angle`  0  THEN  Auto)  THEN  InstConcl  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{}]\mcdot{}  THEN  Auto)
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