hol prim rec Sections HOLlib Doc
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Def x:AB(x) == x:AB(x)

is mentioned by

Thm* 'a:S, e:'af:('a'a).
Thm* (fn1:('a). fn1(0) = e & (n:fn1(n+1) = f(fn1(n),n)))
Thm* & (fn1,y:('a).
Thm* & (fn1(0) = e & (n:fn1(n+1) = f(fn1(n),n))
Thm* & (y(0) = e
Thm* & (& (n:y(n+1) = f(y(n),n))
Thm* & (
Thm* & (fn1 = y)
[num_axiom]
Thm* 'a:S, x:'af:('a'a), n:fun:('a). simp_rec_rel(fun,x,f,n)[simp_rec_exists]
Thm* 'a:S, n:f:('a'a), x:'a.
Thm* (fun:('a). simp_rec_rel(fun,x,f,n))
Thm* 
Thm* simp_rec_fun(x,f,n,0) = x
Thm* & (m:m<n  simp_rec_fun(x,f,n,m+1) = f(simp_rec_fun(x,f,n,m)))
[simp_rec_fun_lemma]

In prior sections: core fun 1 hol hol bool

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hol prim rec Sections HOLlib Doc