hol num Sections HOLlib Doc
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Def ncompose(f;n;x) == if n=0 then x else f(ncompose(f;n-1;x)) fi   (recursive)

is mentioned by

Thm* n:x:'af:('a'a). n>0  ncompose(f;n;x) = f(ncompose(f;n-1;x))[ncompose_pos]
Thm* f:('a'a), x:'a. ncompose(f;0;x) = x[ncompose_zero]
Def rep_num == n:. ncompose(suc_rep;n;zero_rep)[hrep_num]

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hol num Sections HOLlib Doc