Nuprl - hol_prim_rec LEMMAs for prim_rec

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Theorem	Name
Thm* 'a:S, x:'a, f:('a'a). Thm* prim_rec(x,f,0) = x & (m:. prim_rec(x,f,m+1) = f(prim_rec(x,f,m),m))	[prim_rec_thm]
cites the following:
Thm* 'a:S. Thm* all Thm* (x:'a. all Thm* (x:'a. (f:'a hnum 'a. and Thm* (x:'a. (f:'a hnum 'a. (equal(prim_rec(x,f,0),x) Thm* (x:'a. (f:'a hnum 'a. ,all Thm* (x:'a. (f:'a hnum 'a. ,(m:hnum. equal Thm* (x:'a. (f:'a hnum 'a. ,(m:hnum. (prim_rec(x,f,suc(m)) Thm* (x:'a. (f:'a hnum 'a. ,(m:hnum. ,f(prim_rec(x,f,m),m))))))	[hprim_rec_thm]

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