Step 
*
1
1
1
 of Lemma 
free-word-inv-append1
1. X : Type
⊢ λx,y. word-rel(X;x;y)^* [] []
BY
 
{ (RepUR ``transitive-reflexive-closure`` 0 THEN Auto) }
 
Latex: 
Latex:
1.  X  :  Type
\mvdash{}  \mlambda{}x,y.  word-rel(X;x;y)\^{}*  []  []
 By 
Latex:
(RepUR  ``transitive-reflexive-closure``  0  THEN  Auto)
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