Nuprl - Proof: iter via intseg all units 1 2

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At: iter via intseg all units 1 2

1. A : Type
2. f : A

A
3. u : A
4. is_ident(A; f; u)
5. a :

6. b : {a+1...}
7.

c:{a..b

}, e:({a..c

}

A).
7. (

i:{a..c

}. e(i) = u)

(Iter(f;u) i:{a..c

}. e(i)) = u
8. e : {a..b

}

A
9.

i:{a..b

}. e(i) = u

(Iter(f;u) i:{a..b

}. e(i)) = u

By:	Rewrite by Thm* f:(AAA), u:A, a,b:, e:({a..b}A). Thm* a<b Thm* Thm* (Iter(f;u) i:{a..b}. e(i)) = f((Iter(f;u) i:{a..b-1}. e(i)),e(b-1))

Generated subgoal:

1 f((Iter(f;u) i:{a..b-1}. e(i)),e(b-1)) = u
3 steps

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