Step
*
of Lemma
cong3-implies-conga
∀e:BasicGeometry. ∀a,b,c,d,E,f:Point.  (a ≠ b 
⇒ b ≠ c 
⇒ Cong3(abc,dEf) 
⇒ abc ≅a dEf)
BY
{ ((Auto THEN D -1) THEN (D 0 THENL [Auto; (InstConcl [⌜a⌝;⌜c⌝;⌜d⌝;⌜f⌝]⋅ THEN Auto)])) }
Latex:
Latex:
\mforall{}e:BasicGeometry.  \mforall{}a,b,c,d,E,f:Point.    (a  \mneq{}  b  {}\mRightarrow{}  b  \mneq{}  c  {}\mRightarrow{}  Cong3(abc,dEf)  {}\mRightarrow{}  abc  \mcong{}\msuba{}  dEf)
By
Latex:
((Auto  THEN  D  -1)  THEN  (D  0  THENL  [Auto;  (InstConcl  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{};\mkleeneopen{}f\mkleeneclose{}]\mcdot{}  THEN  Auto)]))
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