Step 
*
 of Lemma 
binary_map_case_E
∀[E,F:Top].  (binary_map_case(bm_E();E;key,value,cnt,left,right.F[key;value;cnt;left;right]) ~ E)
BY
 
{ (Reduce 0 THEN Auto) }
 
Latex: 
Latex:
\mforall{}[E,F:Top].    (binary\_map\_case(bm\_E();E;key,value,cnt,left,right.F[key;value;cnt;left;right])  \msim{}  E)
 By 
Latex:
(Reduce  0  THEN  Auto)
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