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Def array-count(v.P(v);a) == sum(if P(a[i]) 1 else 0 fi | i < |a|)

is mentioned by

Thm* P:(T), a:array(T), i:|a|, v:T. array-count(v.P(v);a[i:=v]) = array-count(v.P(v);a)+if P(v)if P(a[i]) 0 else 1 fi ;P(a[i])-1 else 0 fi[array-count-update]

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